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Finding the Third Proportional to 81,040.50 and 174,565.13

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Solution

The third proportional to 81,040.50 and 174,565.13 is: 376,021.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,040.50 : 174,565.13 = 174,565.13 : x
  2. Step 2: Convert to fraction form
    81,040.50/174,565.13 = 174,565.13/x
  3. Step 3: Cross multiply
    81,040.50x = 174,565.13 × 174,565.13
  4. Step 4: Simplify right side
    81,040.50x = 30,472,982,866.27
  5. Step 5: Solve for x
    x = 30,472,982,866.27/81,040.50
  6. Step 6: Final answer
    x = 376,021.65

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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.