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Finding the Third Proportional to 133,060 and 206,423

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Solution

The third proportional to 133,060 and 206,423 is: 320,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,060 : 206,423 = 206,423 : x
  2. Step 2: Convert to fraction form
    133,060/206,423 = 206,423/x
  3. Step 3: Cross multiply
    133,060x = 206,423 × 206,423
  4. Step 4: Simplify right side
    133,060x = 42,610,454,929
  5. Step 5: Solve for x
    x = 42,610,454,929/133,060
  6. Step 6: Final answer
    x = 320,234.89

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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.