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Finding the Third Proportional to 54,694 and 78,211

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Solution

The third proportional to 54,694 and 78,211 is: 111,839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694 : 78,211 = 78,211 : x
  2. Step 2: Convert to fraction form
    54,694/78,211 = 78,211/x
  3. Step 3: Cross multiply
    54,694x = 78,211 × 78,211
  4. Step 4: Simplify right side
    54,694x = 6,116,960,521
  5. Step 5: Solve for x
    x = 6,116,960,521/54,694
  6. Step 6: Final answer
    x = 111,839.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.