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Finding the Third Proportional to 1,704,573,304,342 and 3,709,220,252,086

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Solution

The third proportional to 1,704,573,304,342 and 3,709,220,252,086 is: 8,071,412,853,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,573,304,342 : 3,709,220,252,086 = 3,709,220,252,086 : x
  2. Step 2: Convert to fraction form
    1,704,573,304,342/3,709,220,252,086 = 3,709,220,252,086/x
  3. Step 3: Cross multiply
    1,704,573,304,342x = 3,709,220,252,086 × 3,709,220,252,086
  4. Step 4: Simplify right side
    1,704,573,304,342x = 13,758,314,878,484,928,446,595,072
  5. Step 5: Solve for x
    x = 13,758,314,878,484,928,446,595,072/1,704,573,304,342
  6. Step 6: Final answer
    x = 8,071,412,853,550.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.