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Finding the Third Proportional to 115,413 and 173,879

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Solution

The third proportional to 115,413 and 173,879 is: 261,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,413 : 173,879 = 173,879 : x
  2. Step 2: Convert to fraction form
    115,413/173,879 = 173,879/x
  3. Step 3: Cross multiply
    115,413x = 173,879 × 173,879
  4. Step 4: Simplify right side
    115,413x = 30,233,906,641
  5. Step 5: Solve for x
    x = 30,233,906,641/115,413
  6. Step 6: Final answer
    x = 261,962.75

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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.