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Finding the Third Proportional to 86,038 and 129,093

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Solution

The third proportional to 86,038 and 129,093 is: 193,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,038 : 129,093 = 129,093 : x
  2. Step 2: Convert to fraction form
    86,038/129,093 = 129,093/x
  3. Step 3: Cross multiply
    86,038x = 129,093 × 129,093
  4. Step 4: Simplify right side
    86,038x = 16,665,002,649
  5. Step 5: Solve for x
    x = 16,665,002,649/86,038
  6. Step 6: Final answer
    x = 193,693.52

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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.