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Finding the Third Proportional to 81,639,815 and 176,266,765

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Solution

The third proportional to 81,639,815 and 176,266,765 is: 380,573,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,639,815 : 176,266,765 = 176,266,765 : x
  2. Step 2: Convert to fraction form
    81,639,815/176,266,765 = 176,266,765/x
  3. Step 3: Cross multiply
    81,639,815x = 176,266,765 × 176,266,765
  4. Step 4: Simplify right side
    81,639,815x = 31,069,972,443,565,224
  5. Step 5: Solve for x
    x = 31,069,972,443,565,224/81,639,815
  6. Step 6: Final answer
    x = 380,573,773.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.