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Finding the Third Proportional to 132,709 and 205,508

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Solution

The third proportional to 132,709 and 205,508 is: 318,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,709 : 205,508 = 205,508 : x
  2. Step 2: Convert to fraction form
    132,709/205,508 = 205,508/x
  3. Step 3: Cross multiply
    132,709x = 205,508 × 205,508
  4. Step 4: Simplify right side
    132,709x = 42,233,538,064
  5. Step 5: Solve for x
    x = 42,233,538,064/132,709
  6. Step 6: Final answer
    x = 318,241.70

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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.