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Finding the Third Proportional to 86,579.75 and 129,521.25

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Solution

The third proportional to 86,579.75 and 129,521.25 is: 193,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,579.75 : 129,521.25 = 129,521.25 : x
  2. Step 2: Convert to fraction form
    86,579.75/129,521.25 = 129,521.25/x
  3. Step 3: Cross multiply
    86,579.75x = 129,521.25 × 129,521.25
  4. Step 4: Simplify right side
    86,579.75x = 16,775,754,201.56
  5. Step 5: Solve for x
    x = 16,775,754,201.56/86,579.75
  6. Step 6: Final answer
    x = 193,760.71

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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.