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Finding the Third Proportional to 200,434 and 431,876

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Solution

The third proportional to 200,434 and 431,876 is: 930,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434 : 431,876 = 431,876 : x
  2. Step 2: Convert to fraction form
    200,434/431,876 = 431,876/x
  3. Step 3: Cross multiply
    200,434x = 431,876 × 431,876
  4. Step 4: Simplify right side
    200,434x = 186,516,879,376
  5. Step 5: Solve for x
    x = 186,516,879,376/200,434
  6. Step 6: Final answer
    x = 930,565.07

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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.