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Finding the Third Proportional to 54,464 and 86,722

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Solution

The third proportional to 54,464 and 86,722 is: 138,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,464 : 86,722 = 86,722 : x
  2. Step 2: Convert to fraction form
    54,464/86,722 = 86,722/x
  3. Step 3: Cross multiply
    54,464x = 86,722 × 86,722
  4. Step 4: Simplify right side
    54,464x = 7,520,705,284
  5. Step 5: Solve for x
    x = 7,520,705,284/54,464
  6. Step 6: Final answer
    x = 138,085.81

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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.