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Finding the Third Proportional to 133,870 and 281,545

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Solution

The third proportional to 133,870 and 281,545 is: 592,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,870 : 281,545 = 281,545 : x
  2. Step 2: Convert to fraction form
    133,870/281,545 = 281,545/x
  3. Step 3: Cross multiply
    133,870x = 281,545 × 281,545
  4. Step 4: Simplify right side
    133,870x = 79,267,587,025
  5. Step 5: Solve for x
    x = 79,267,587,025/133,870
  6. Step 6: Final answer
    x = 592,123.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.