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Finding the Third Proportional to 292,881 and 639,474

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Solution

The third proportional to 292,881 and 639,474 is: 1,396,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,881 : 639,474 = 639,474 : x
  2. Step 2: Convert to fraction form
    292,881/639,474 = 639,474/x
  3. Step 3: Cross multiply
    292,881x = 639,474 × 639,474
  4. Step 4: Simplify right side
    292,881x = 408,926,996,676
  5. Step 5: Solve for x
    x = 408,926,996,676/292,881
  6. Step 6: Final answer
    x = 1,396,222.35

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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.