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Finding the Third Proportional to 257,384 and 396,060

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Solution

The third proportional to 257,384 and 396,060 is: 609,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,384 : 396,060 = 396,060 : x
  2. Step 2: Convert to fraction form
    257,384/396,060 = 396,060/x
  3. Step 3: Cross multiply
    257,384x = 396,060 × 396,060
  4. Step 4: Simplify right side
    257,384x = 156,863,523,600
  5. Step 5: Solve for x
    x = 156,863,523,600/257,384
  6. Step 6: Final answer
    x = 609,453.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.