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Finding the Third Proportional to 38,880 and 61,120

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Solution

The third proportional to 38,880 and 61,120 is: 96,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,880 : 61,120 = 61,120 : x
  2. Step 2: Convert to fraction form
    38,880/61,120 = 61,120/x
  3. Step 3: Cross multiply
    38,880x = 61,120 × 61,120
  4. Step 4: Simplify right side
    38,880x = 3,735,654,400
  5. Step 5: Solve for x
    x = 3,735,654,400/38,880
  6. Step 6: Final answer
    x = 96,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.