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Finding the Third Proportional to 133,810 and 207,302

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Solution

The third proportional to 133,810 and 207,302 is: 321,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,810 : 207,302 = 207,302 : x
  2. Step 2: Convert to fraction form
    133,810/207,302 = 207,302/x
  3. Step 3: Cross multiply
    133,810x = 207,302 × 207,302
  4. Step 4: Simplify right side
    133,810x = 42,974,119,204
  5. Step 5: Solve for x
    x = 42,974,119,204/133,810
  6. Step 6: Final answer
    x = 321,157.76

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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.