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Finding the Third Proportional to 39,651 and 87,078

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Solution

The third proportional to 39,651 and 87,078 is: 191,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,651 : 87,078 = 87,078 : x
  2. Step 2: Convert to fraction form
    39,651/87,078 = 87,078/x
  3. Step 3: Cross multiply
    39,651x = 87,078 × 87,078
  4. Step 4: Simplify right side
    39,651x = 7,582,578,084
  5. Step 5: Solve for x
    x = 7,582,578,084/39,651
  6. Step 6: Final answer
    x = 191,232.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.