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Finding the Third Proportional to 115,418 and 173,886

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Solution

The third proportional to 115,418 and 173,886 is: 261,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,418 : 173,886 = 173,886 : x
  2. Step 2: Convert to fraction form
    115,418/173,886 = 173,886/x
  3. Step 3: Cross multiply
    115,418x = 173,886 × 173,886
  4. Step 4: Simplify right side
    115,418x = 30,236,340,996
  5. Step 5: Solve for x
    x = 30,236,340,996/115,418
  6. Step 6: Final answer
    x = 261,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.