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Finding the Third Proportional to 81,840.38 and 176,131.13

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Solution

The third proportional to 81,840.38 and 176,131.13 is: 379,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840.38 : 176,131.13 = 176,131.13 : x
  2. Step 2: Convert to fraction form
    81,840.38/176,131.13 = 176,131.13/x
  3. Step 3: Cross multiply
    81,840.38x = 176,131.13 × 176,131.13
  4. Step 4: Simplify right side
    81,840.38x = 31,022,173,193.77
  5. Step 5: Solve for x
    x = 31,022,173,193.77/81,840.38
  6. Step 6: Final answer
    x = 379,057.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.