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Finding the Third Proportional to 81,040.50 and 176,266.13

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Solution

The third proportional to 81,040.50 and 176,266.13 is: 383,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,040.50 : 176,266.13 = 176,266.13 : x
  2. Step 2: Convert to fraction form
    81,040.50/176,266.13 = 176,266.13/x
  3. Step 3: Cross multiply
    81,040.50x = 176,266.13 × 176,266.13
  4. Step 4: Simplify right side
    81,040.50x = 31,069,746,822.52
  5. Step 5: Solve for x
    x = 31,069,746,822.52/81,040.50
  6. Step 6: Final answer
    x = 383,385.43

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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.