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Finding the Third Proportional to 84,120 and 124,965

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Solution

The third proportional to 84,120 and 124,965 is: 185,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,120 : 124,965 = 124,965 : x
  2. Step 2: Convert to fraction form
    84,120/124,965 = 124,965/x
  3. Step 3: Cross multiply
    84,120x = 124,965 × 124,965
  4. Step 4: Simplify right side
    84,120x = 15,616,251,225
  5. Step 5: Solve for x
    x = 15,616,251,225/84,120
  6. Step 6: Final answer
    x = 185,642.55

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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.