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Finding the Third Proportional to 81,722 and 124,959

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Solution

The third proportional to 81,722 and 124,959 is: 191,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722 : 124,959 = 124,959 : x
  2. Step 2: Convert to fraction form
    81,722/124,959 = 124,959/x
  3. Step 3: Cross multiply
    81,722x = 124,959 × 124,959
  4. Step 4: Simplify right side
    81,722x = 15,614,751,681
  5. Step 5: Solve for x
    x = 15,614,751,681/81,722
  6. Step 6: Final answer
    x = 191,071.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.