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Finding the Third Proportional to 81,678.38 and 175,020.75

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Solution

The third proportional to 81,678.38 and 175,020.75 is: 375,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,678.38 : 175,020.75 = 175,020.75 : x
  2. Step 2: Convert to fraction form
    81,678.38/175,020.75 = 175,020.75/x
  3. Step 3: Cross multiply
    81,678.38x = 175,020.75 × 175,020.75
  4. Step 4: Simplify right side
    81,678.38x = 30,632,262,930.56
  5. Step 5: Solve for x
    x = 30,632,262,930.56/81,678.38
  6. Step 6: Final answer
    x = 375,035.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.