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Finding the Third Proportional to 54,498 and 77,121

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Solution

The third proportional to 54,498 and 77,121 is: 109,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,498 : 77,121 = 77,121 : x
  2. Step 2: Convert to fraction form
    54,498/77,121 = 77,121/x
  3. Step 3: Cross multiply
    54,498x = 77,121 × 77,121
  4. Step 4: Simplify right side
    54,498x = 5,947,648,641
  5. Step 5: Solve for x
    x = 5,947,648,641/54,498
  6. Step 6: Final answer
    x = 109,135.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.