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Finding the Third Proportional to 81,486 and 172,752.75

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Solution

The third proportional to 81,486 and 172,752.75 is: 366,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,486 : 172,752.75 = 172,752.75 : x
  2. Step 2: Convert to fraction form
    81,486/172,752.75 = 172,752.75/x
  3. Step 3: Cross multiply
    81,486x = 172,752.75 × 172,752.75
  4. Step 4: Simplify right side
    81,486x = 29,843,512,632.56
  5. Step 5: Solve for x
    x = 29,843,512,632.56/81,486
  6. Step 6: Final answer
    x = 366,240.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.