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Finding the Third Proportional to 292,880 and 639,472

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Solution

The third proportional to 292,880 and 639,472 is: 1,396,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,880 : 639,472 = 639,472 : x
  2. Step 2: Convert to fraction form
    292,880/639,472 = 639,472/x
  3. Step 3: Cross multiply
    292,880x = 639,472 × 639,472
  4. Step 4: Simplify right side
    292,880x = 408,924,438,784
  5. Step 5: Solve for x
    x = 408,924,438,784/292,880
  6. Step 6: Final answer
    x = 1,396,218.38

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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.