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Finding the Third Proportional to 257,516 and 397,947

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Solution

The third proportional to 257,516 and 397,947 is: 614,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516 : 397,947 = 397,947 : x
  2. Step 2: Convert to fraction form
    257,516/397,947 = 397,947/x
  3. Step 3: Cross multiply
    257,516x = 397,947 × 397,947
  4. Step 4: Simplify right side
    257,516x = 158,361,814,809
  5. Step 5: Solve for x
    x = 158,361,814,809/257,516
  6. Step 6: Final answer
    x = 614,959.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.