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Finding the Third Proportional to 81,987 and 122,982

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Solution

The third proportional to 81,987 and 122,982 is: 184,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,987 : 122,982 = 122,982 : x
  2. Step 2: Convert to fraction form
    81,987/122,982 = 122,982/x
  3. Step 3: Cross multiply
    81,987x = 122,982 × 122,982
  4. Step 4: Simplify right side
    81,987x = 15,124,572,324
  5. Step 5: Solve for x
    x = 15,124,572,324/81,987
  6. Step 6: Final answer
    x = 184,475.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.