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Finding the Third Proportional to 54,642 and 81,660

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Solution

The third proportional to 54,642 and 81,660 is: 122,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642 : 81,660 = 81,660 : x
  2. Step 2: Convert to fraction form
    54,642/81,660 = 81,660/x
  3. Step 3: Cross multiply
    54,642x = 81,660 × 81,660
  4. Step 4: Simplify right side
    54,642x = 6,668,355,600
  5. Step 5: Solve for x
    x = 6,668,355,600/54,642
  6. Step 6: Final answer
    x = 122,037.18

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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.