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Finding the Third Proportional to 81,136.13 and 177,034.50

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Solution

The third proportional to 81,136.13 and 177,034.50 is: 386,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,136.13 : 177,034.50 = 177,034.50 : x
  2. Step 2: Convert to fraction form
    81,136.13/177,034.50 = 177,034.50/x
  3. Step 3: Cross multiply
    81,136.13x = 177,034.50 × 177,034.50
  4. Step 4: Simplify right side
    81,136.13x = 31,341,214,190.25
  5. Step 5: Solve for x
    x = 31,341,214,190.25/81,136.13
  6. Step 6: Final answer
    x = 386,279.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.