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Finding the Third Proportional to 133,802 and 207,291

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Solution

The third proportional to 133,802 and 207,291 is: 321,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802 : 207,291 = 207,291 : x
  2. Step 2: Convert to fraction form
    133,802/207,291 = 207,291/x
  3. Step 3: Cross multiply
    133,802x = 207,291 × 207,291
  4. Step 4: Simplify right side
    133,802x = 42,969,558,681
  5. Step 5: Solve for x
    x = 42,969,558,681/133,802
  6. Step 6: Final answer
    x = 321,142.87

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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.