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Finding the Third Proportional to 75,451 and 163,879

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Solution

The third proportional to 75,451 and 163,879 is: 355,943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451 : 163,879 = 163,879 : x
  2. Step 2: Convert to fraction form
    75,451/163,879 = 163,879/x
  3. Step 3: Cross multiply
    75,451x = 163,879 × 163,879
  4. Step 4: Simplify right side
    75,451x = 26,856,326,641
  5. Step 5: Solve for x
    x = 26,856,326,641/75,451
  6. Step 6: Final answer
    x = 355,943.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.