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Finding the Third Proportional to 257,518 and 397,950

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Solution

The third proportional to 257,518 and 397,950 is: 614,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,518 : 397,950 = 397,950 : x
  2. Step 2: Convert to fraction form
    257,518/397,950 = 397,950/x
  3. Step 3: Cross multiply
    257,518x = 397,950 × 397,950
  4. Step 4: Simplify right side
    257,518x = 158,364,202,500
  5. Step 5: Solve for x
    x = 158,364,202,500/257,518
  6. Step 6: Final answer
    x = 614,963.62

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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.