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Finding the Third Proportional to 132,707 and 205,505

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Solution

The third proportional to 132,707 and 205,505 is: 318,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,707 : 205,505 = 205,505 : x
  2. Step 2: Convert to fraction form
    132,707/205,505 = 205,505/x
  3. Step 3: Cross multiply
    132,707x = 205,505 × 205,505
  4. Step 4: Simplify right side
    132,707x = 42,232,305,025
  5. Step 5: Solve for x
    x = 42,232,305,025/132,707
  6. Step 6: Final answer
    x = 318,237.21

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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.