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Finding the Third Proportional to 81,723 and 175,959

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Solution

The third proportional to 81,723 and 175,959 is: 378,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,723 : 175,959 = 175,959 : x
  2. Step 2: Convert to fraction form
    81,723/175,959 = 175,959/x
  3. Step 3: Cross multiply
    81,723x = 175,959 × 175,959
  4. Step 4: Simplify right side
    81,723x = 30,961,569,681
  5. Step 5: Solve for x
    x = 30,961,569,681/81,723
  6. Step 6: Final answer
    x = 378,859.93

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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.