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Finding the Third Proportional to 54,808 and 87,132

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Solution

The third proportional to 54,808 and 87,132 is: 138,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,808 : 87,132 = 87,132 : x
  2. Step 2: Convert to fraction form
    54,808/87,132 = 87,132/x
  3. Step 3: Cross multiply
    54,808x = 87,132 × 87,132
  4. Step 4: Simplify right side
    54,808x = 7,591,985,424
  5. Step 5: Solve for x
    x = 7,591,985,424/54,808
  6. Step 6: Final answer
    x = 138,519.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.