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Finding the Third Proportional to 639,360 and 954,663

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Solution

The third proportional to 639,360 and 954,663 is: 1,425,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,360 : 954,663 = 954,663 : x
  2. Step 2: Convert to fraction form
    639,360/954,663 = 954,663/x
  3. Step 3: Cross multiply
    639,360x = 954,663 × 954,663
  4. Step 4: Simplify right side
    639,360x = 911,381,443,569
  5. Step 5: Solve for x
    x = 911,381,443,569/639,360
  6. Step 6: Final answer
    x = 1,425,458.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.