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Finding the Third Proportional to 125,440 and 268,142

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Solution

The third proportional to 125,440 and 268,142 is: 573,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,440 : 268,142 = 268,142 : x
  2. Step 2: Convert to fraction form
    125,440/268,142 = 268,142/x
  3. Step 3: Cross multiply
    125,440x = 268,142 × 268,142
  4. Step 4: Simplify right side
    125,440x = 71,900,132,164
  5. Step 5: Solve for x
    x = 71,900,132,164/125,440
  6. Step 6: Final answer
    x = 573,183.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.