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Finding the Third Proportional to 39,115 and 83,078

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Solution

The third proportional to 39,115 and 83,078 is: 176,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115 : 83,078 = 83,078 : x
  2. Step 2: Convert to fraction form
    39,115/83,078 = 83,078/x
  3. Step 3: Cross multiply
    39,115x = 83,078 × 83,078
  4. Step 4: Simplify right side
    39,115x = 6,901,954,084
  5. Step 5: Solve for x
    x = 6,901,954,084/39,115
  6. Step 6: Final answer
    x = 176,452.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.