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Finding the Third Proportional to 54,438 and 84,078

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Solution

The third proportional to 54,438 and 84,078 is: 129,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438 : 84,078 = 84,078 : x
  2. Step 2: Convert to fraction form
    54,438/84,078 = 84,078/x
  3. Step 3: Cross multiply
    54,438x = 84,078 × 84,078
  4. Step 4: Simplify right side
    54,438x = 7,069,110,084
  5. Step 5: Solve for x
    x = 7,069,110,084/54,438
  6. Step 6: Final answer
    x = 129,856.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.