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Finding the Third Proportional to 63,876 and 134,367

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Solution

The third proportional to 63,876 and 134,367 is: 282,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,876 : 134,367 = 134,367 : x
  2. Step 2: Convert to fraction form
    63,876/134,367 = 134,367/x
  3. Step 3: Cross multiply
    63,876x = 134,367 × 134,367
  4. Step 4: Simplify right side
    63,876x = 18,054,490,689
  5. Step 5: Solve for x
    x = 18,054,490,689/63,876
  6. Step 6: Final answer
    x = 282,649.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.