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Finding the Third Proportional to 81,249 and 181,169.50

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Solution

The third proportional to 81,249 and 181,169.50 is: 403,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,249 : 181,169.50 = 181,169.50 : x
  2. Step 2: Convert to fraction form
    81,249/181,169.50 = 181,169.50/x
  3. Step 3: Cross multiply
    81,249x = 181,169.50 × 181,169.50
  4. Step 4: Simplify right side
    81,249x = 32,822,387,730.25
  5. Step 5: Solve for x
    x = 32,822,387,730.25/81,249
  6. Step 6: Final answer
    x = 403,972.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.