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Finding the Third Proportional to 39,078 and 61,257

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Solution

The third proportional to 39,078 and 61,257 is: 96,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,078 : 61,257 = 61,257 : x
  2. Step 2: Convert to fraction form
    39,078/61,257 = 61,257/x
  3. Step 3: Cross multiply
    39,078x = 61,257 × 61,257
  4. Step 4: Simplify right side
    39,078x = 3,752,420,049
  5. Step 5: Solve for x
    x = 3,752,420,049/39,078
  6. Step 6: Final answer
    x = 96,023.85

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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.