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Finding the Third Proportional to 93,876 and 141,612

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Solution

The third proportional to 93,876 and 141,612 is: 213,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,876 : 141,612 = 141,612 : x
  2. Step 2: Convert to fraction form
    93,876/141,612 = 141,612/x
  3. Step 3: Cross multiply
    93,876x = 141,612 × 141,612
  4. Step 4: Simplify right side
    93,876x = 20,053,958,544
  5. Step 5: Solve for x
    x = 20,053,958,544/93,876
  6. Step 6: Final answer
    x = 213,621.78

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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.