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Finding the Third Proportional to 199,876 and 429,400

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Solution

The third proportional to 199,876 and 429,400 is: 922,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,876 : 429,400 = 429,400 : x
  2. Step 2: Convert to fraction form
    199,876/429,400 = 429,400/x
  3. Step 3: Cross multiply
    199,876x = 429,400 × 429,400
  4. Step 4: Simplify right side
    199,876x = 184,384,360,000
  5. Step 5: Solve for x
    x = 184,384,360,000/199,876
  6. Step 6: Final answer
    x = 922,493.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.