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Finding the Third Proportional to 54,582 and 81,535

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Solution

The third proportional to 54,582 and 81,535 is: 121,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582 : 81,535 = 81,535 : x
  2. Step 2: Convert to fraction form
    54,582/81,535 = 81,535/x
  3. Step 3: Cross multiply
    54,582x = 81,535 × 81,535
  4. Step 4: Simplify right side
    54,582x = 6,647,956,225
  5. Step 5: Solve for x
    x = 6,647,956,225/54,582
  6. Step 6: Final answer
    x = 121,797.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.