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Finding the Third Proportional to 54,340 and 86,464

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Solution

The third proportional to 54,340 and 86,464 is: 137,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340 : 86,464 = 86,464 : x
  2. Step 2: Convert to fraction form
    54,340/86,464 = 86,464/x
  3. Step 3: Cross multiply
    54,340x = 86,464 × 86,464
  4. Step 4: Simplify right side
    54,340x = 7,476,023,296
  5. Step 5: Solve for x
    x = 7,476,023,296/54,340
  6. Step 6: Final answer
    x = 137,578.64

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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.