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Finding the Third Proportional to 86,580 and 129,872.25

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Solution

The third proportional to 86,580 and 129,872.25 is: 194,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 129,872.25 = 129,872.25 : x
  2. Step 2: Convert to fraction form
    86,580/129,872.25 = 129,872.25/x
  3. Step 3: Cross multiply
    86,580x = 129,872.25 × 129,872.25
  4. Step 4: Simplify right side
    86,580x = 16,866,801,320.06
  5. Step 5: Solve for x
    x = 16,866,801,320.06/86,580
  6. Step 6: Final answer
    x = 194,811.75

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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.