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Finding the Third Proportional to 81,127.13 and 111,300.75

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Solution

The third proportional to 81,127.13 and 111,300.75 is: 152,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,127.13 : 111,300.75 = 111,300.75 : x
  2. Step 2: Convert to fraction form
    81,127.13/111,300.75 = 111,300.75/x
  3. Step 3: Cross multiply
    81,127.13x = 111,300.75 × 111,300.75
  4. Step 4: Simplify right side
    81,127.13x = 12,387,856,950.56
  5. Step 5: Solve for x
    x = 12,387,856,950.56/81,127.13
  6. Step 6: Final answer
    x = 152,696.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.