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Finding the Third Proportional to 86,221 and 129,450

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Solution

The third proportional to 86,221 and 129,450 is: 194,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,221 : 129,450 = 129,450 : x
  2. Step 2: Convert to fraction form
    86,221/129,450 = 129,450/x
  3. Step 3: Cross multiply
    86,221x = 129,450 × 129,450
  4. Step 4: Simplify right side
    86,221x = 16,757,302,500
  5. Step 5: Solve for x
    x = 16,757,302,500/86,221
  6. Step 6: Final answer
    x = 194,352.91

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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.