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Finding the Third Proportional to 87,118 and 130,334

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Solution

The third proportional to 87,118 and 130,334 is: 194,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,118 : 130,334 = 130,334 : x
  2. Step 2: Convert to fraction form
    87,118/130,334 = 130,334/x
  3. Step 3: Cross multiply
    87,118x = 130,334 × 130,334
  4. Step 4: Simplify right side
    87,118x = 16,986,951,556
  5. Step 5: Solve for x
    x = 16,986,951,556/87,118
  6. Step 6: Final answer
    x = 194,987.85

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