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Finding the Third Proportional to 201,690 and 429,876

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Solution

The third proportional to 201,690 and 429,876 is: 916,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,690 : 429,876 = 429,876 : x
  2. Step 2: Convert to fraction form
    201,690/429,876 = 429,876/x
  3. Step 3: Cross multiply
    201,690x = 429,876 × 429,876
  4. Step 4: Simplify right side
    201,690x = 184,793,375,376
  5. Step 5: Solve for x
    x = 184,793,375,376/201,690
  6. Step 6: Final answer
    x = 916,224.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.