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Finding the Third Proportional to 133,432 and 206,532

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Solution

The third proportional to 133,432 and 206,532 is: 319,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,432 : 206,532 = 206,532 : x
  2. Step 2: Convert to fraction form
    133,432/206,532 = 206,532/x
  3. Step 3: Cross multiply
    133,432x = 206,532 × 206,532
  4. Step 4: Simplify right side
    133,432x = 42,655,467,024
  5. Step 5: Solve for x
    x = 42,655,467,024/133,432
  6. Step 6: Final answer
    x = 319,679.44

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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.