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Finding the Third Proportional to 86,675 and 129,445.50

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Solution

The third proportional to 86,675 and 129,445.50 is: 193,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,675 : 129,445.50 = 129,445.50 : x
  2. Step 2: Convert to fraction form
    86,675/129,445.50 = 129,445.50/x
  3. Step 3: Cross multiply
    86,675x = 129,445.50 × 129,445.50
  4. Step 4: Simplify right side
    86,675x = 16,756,137,470.25
  5. Step 5: Solve for x
    x = 16,756,137,470.25/86,675
  6. Step 6: Final answer
    x = 193,321.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.