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Finding the Third Proportional to 86,110.75 and 126,614.50

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Solution

The third proportional to 86,110.75 and 126,614.50 is: 186,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,110.75 : 126,614.50 = 126,614.50 : x
  2. Step 2: Convert to fraction form
    86,110.75/126,614.50 = 126,614.50/x
  3. Step 3: Cross multiply
    86,110.75x = 126,614.50 × 126,614.50
  4. Step 4: Simplify right side
    86,110.75x = 16,031,231,610.25
  5. Step 5: Solve for x
    x = 16,031,231,610.25/86,110.75
  6. Step 6: Final answer
    x = 186,169.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.