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Finding the Third Proportional to 402,720 and 639,792

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Solution

The third proportional to 402,720 and 639,792 is: 1,016,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,720 : 639,792 = 639,792 : x
  2. Step 2: Convert to fraction form
    402,720/639,792 = 639,792/x
  3. Step 3: Cross multiply
    402,720x = 639,792 × 639,792
  4. Step 4: Simplify right side
    402,720x = 409,333,803,264
  5. Step 5: Solve for x
    x = 409,333,803,264/402,720
  6. Step 6: Final answer
    x = 1,016,422.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.