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Finding the Third Proportional to 81,240 and 121,181

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Solution

The third proportional to 81,240 and 121,181 is: 180,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,240 : 121,181 = 121,181 : x
  2. Step 2: Convert to fraction form
    81,240/121,181 = 121,181/x
  3. Step 3: Cross multiply
    81,240x = 121,181 × 121,181
  4. Step 4: Simplify right side
    81,240x = 14,684,834,761
  5. Step 5: Solve for x
    x = 14,684,834,761/81,240
  6. Step 6: Final answer
    x = 180,758.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.