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Finding the Third Proportional to 54,839 and 87,220

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Solution

The third proportional to 54,839 and 87,220 is: 138,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,839 : 87,220 = 87,220 : x
  2. Step 2: Convert to fraction form
    54,839/87,220 = 87,220/x
  3. Step 3: Cross multiply
    54,839x = 87,220 × 87,220
  4. Step 4: Simplify right side
    54,839x = 7,607,328,400
  5. Step 5: Solve for x
    x = 7,607,328,400/54,839
  6. Step 6: Final answer
    x = 138,721.14

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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.