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Finding the Third Proportional to 122,876 and 187,878

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Solution

The third proportional to 122,876 and 187,878 is: 287,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,876 : 187,878 = 187,878 : x
  2. Step 2: Convert to fraction form
    122,876/187,878 = 187,878/x
  3. Step 3: Cross multiply
    122,876x = 187,878 × 187,878
  4. Step 4: Simplify right side
    122,876x = 35,298,142,884
  5. Step 5: Solve for x
    x = 35,298,142,884/122,876
  6. Step 6: Final answer
    x = 287,266.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.