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Finding the Third Proportional to 54,578 and 77,211

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Solution

The third proportional to 54,578 and 77,211 is: 109,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578 : 77,211 = 77,211 : x
  2. Step 2: Convert to fraction form
    54,578/77,211 = 77,211/x
  3. Step 3: Cross multiply
    54,578x = 77,211 × 77,211
  4. Step 4: Simplify right side
    54,578x = 5,961,538,521
  5. Step 5: Solve for x
    x = 5,961,538,521/54,578
  6. Step 6: Final answer
    x = 109,229.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.