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Finding the Third Proportional to 133,782 and 207,261

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Solution

The third proportional to 133,782 and 207,261 is: 321,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782 : 207,261 = 207,261 : x
  2. Step 2: Convert to fraction form
    133,782/207,261 = 207,261/x
  3. Step 3: Cross multiply
    133,782x = 207,261 × 207,261
  4. Step 4: Simplify right side
    133,782x = 42,957,122,121
  5. Step 5: Solve for x
    x = 42,957,122,121/133,782
  6. Step 6: Final answer
    x = 321,097.92

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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.