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Finding the Third Proportional to 75,443 and 163,867

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Solution

The third proportional to 75,443 and 163,867 is: 355,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,443 : 163,867 = 163,867 : x
  2. Step 2: Convert to fraction form
    75,443/163,867 = 163,867/x
  3. Step 3: Cross multiply
    75,443x = 163,867 × 163,867
  4. Step 4: Simplify right side
    75,443x = 26,852,393,689
  5. Step 5: Solve for x
    x = 26,852,393,689/75,443
  6. Step 6: Final answer
    x = 355,929.56

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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.