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Finding the Third Proportional to 402,724 and 639,798

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Solution

The third proportional to 402,724 and 639,798 is: 1,016,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,724 : 639,798 = 639,798 : x
  2. Step 2: Convert to fraction form
    402,724/639,798 = 639,798/x
  3. Step 3: Cross multiply
    402,724x = 639,798 × 639,798
  4. Step 4: Simplify right side
    402,724x = 409,341,480,804
  5. Step 5: Solve for x
    x = 409,341,480,804/402,724
  6. Step 6: Final answer
    x = 1,016,431.80

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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.