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Finding the Third Proportional to 81,044 and 122,686

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Solution

The third proportional to 81,044 and 122,686 is: 185,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,044 : 122,686 = 122,686 : x
  2. Step 2: Convert to fraction form
    81,044/122,686 = 122,686/x
  3. Step 3: Cross multiply
    81,044x = 122,686 × 122,686
  4. Step 4: Simplify right side
    81,044x = 15,051,854,596
  5. Step 5: Solve for x
    x = 15,051,854,596/81,044
  6. Step 6: Final answer
    x = 185,724.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.