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Finding the Third Proportional to 121,884 and 185,178

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Solution

The third proportional to 121,884 and 185,178 is: 281,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,884 : 185,178 = 185,178 : x
  2. Step 2: Convert to fraction form
    121,884/185,178 = 185,178/x
  3. Step 3: Cross multiply
    121,884x = 185,178 × 185,178
  4. Step 4: Simplify right side
    121,884x = 34,290,891,684
  5. Step 5: Solve for x
    x = 34,290,891,684/121,884
  6. Step 6: Final answer
    x = 281,340.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.