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Finding the Third Proportional to 133,084 and 206,459

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Solution

The third proportional to 133,084 and 206,459 is: 320,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 206,459 = 206,459 : x
  2. Step 2: Convert to fraction form
    133,084/206,459 = 206,459/x
  3. Step 3: Cross multiply
    133,084x = 206,459 × 206,459
  4. Step 4: Simplify right side
    133,084x = 42,625,318,681
  5. Step 5: Solve for x
    x = 42,625,318,681/133,084
  6. Step 6: Final answer
    x = 320,288.83

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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.