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Finding the Third Proportional to 54,508 and 77,298

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Solution

The third proportional to 54,508 and 77,298 is: 109,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508 : 77,298 = 77,298 : x
  2. Step 2: Convert to fraction form
    54,508/77,298 = 77,298/x
  3. Step 3: Cross multiply
    54,508x = 77,298 × 77,298
  4. Step 4: Simplify right side
    54,508x = 5,974,980,804
  5. Step 5: Solve for x
    x = 5,974,980,804/54,508
  6. Step 6: Final answer
    x = 109,616.58

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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.