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Finding the Third Proportional to 81,973.13 and 176,520.38

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Solution

The third proportional to 81,973.13 and 176,520.38 is: 380,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.13 : 176,520.38 = 176,520.38 : x
  2. Step 2: Convert to fraction form
    81,973.13/176,520.38 = 176,520.38/x
  3. Step 3: Cross multiply
    81,973.13x = 176,520.38 × 176,520.38
  4. Step 4: Simplify right side
    81,973.13x = 31,159,442,790.14
  5. Step 5: Solve for x
    x = 31,159,442,790.14/81,973.13
  6. Step 6: Final answer
    x = 380,117.79

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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.