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Finding the Third Proportional to 257,947 and 392,448

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Solution

The third proportional to 257,947 and 392,448 is: 597,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,947 : 392,448 = 392,448 : x
  2. Step 2: Convert to fraction form
    257,947/392,448 = 392,448/x
  3. Step 3: Cross multiply
    257,947x = 392,448 × 392,448
  4. Step 4: Simplify right side
    257,947x = 154,015,432,704
  5. Step 5: Solve for x
    x = 154,015,432,704/257,947
  6. Step 6: Final answer
    x = 597,081.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.