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Finding the Third Proportional to 257,120 and 398,068

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Solution

The third proportional to 257,120 and 398,068 is: 616,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,120 : 398,068 = 398,068 : x
  2. Step 2: Convert to fraction form
    257,120/398,068 = 398,068/x
  3. Step 3: Cross multiply
    257,120x = 398,068 × 398,068
  4. Step 4: Simplify right side
    257,120x = 158,458,132,624
  5. Step 5: Solve for x
    x = 158,458,132,624/257,120
  6. Step 6: Final answer
    x = 616,280.85

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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.