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Finding the Third Proportional to 132,982 and 199,499

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Solution

The third proportional to 132,982 and 199,499 is: 299,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,982 : 199,499 = 199,499 : x
  2. Step 2: Convert to fraction form
    132,982/199,499 = 199,499/x
  3. Step 3: Cross multiply
    132,982x = 199,499 × 199,499
  4. Step 4: Simplify right side
    132,982x = 39,799,851,001
  5. Step 5: Solve for x
    x = 39,799,851,001/132,982
  6. Step 6: Final answer
    x = 299,287.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.