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Finding the Third Proportional to 84,350 and 123,987

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Solution

The third proportional to 84,350 and 123,987 is: 182,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,350 : 123,987 = 123,987 : x
  2. Step 2: Convert to fraction form
    84,350/123,987 = 123,987/x
  3. Step 3: Cross multiply
    84,350x = 123,987 × 123,987
  4. Step 4: Simplify right side
    84,350x = 15,372,776,169
  5. Step 5: Solve for x
    x = 15,372,776,169/84,350
  6. Step 6: Final answer
    x = 182,249.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.