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Finding the Third Proportional to 639,497,448.75 and 1,391,602,474.38

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Solution

The third proportional to 639,497,448.75 and 1,391,602,474.38 is: 3,028,248,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,497,448.75 : 1,391,602,474.38 = 1,391,602,474.38 : x
  2. Step 2: Convert to fraction form
    639,497,448.75/1,391,602,474.38 = 1,391,602,474.38/x
  3. Step 3: Cross multiply
    639,497,448.75x = 1,391,602,474.38 × 1,391,602,474.38
  4. Step 4: Simplify right side
    639,497,448.75x = 1,936,557,446,686,622,464
  5. Step 5: Solve for x
    x = 1,936,557,446,686,622,464/639,497,448.75
  6. Step 6: Final answer
    x = 3,028,248,901.50

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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.