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Finding the Third Proportional to 54,580 and 81,532

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Solution

The third proportional to 54,580 and 81,532 is: 121,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,580 : 81,532 = 81,532 : x
  2. Step 2: Convert to fraction form
    54,580/81,532 = 81,532/x
  3. Step 3: Cross multiply
    54,580x = 81,532 × 81,532
  4. Step 4: Simplify right side
    54,580x = 6,647,467,024
  5. Step 5: Solve for x
    x = 6,647,467,024/54,580
  6. Step 6: Final answer
    x = 121,793.09

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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.