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Finding the Third Proportional to 200,658 and 435,876

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Solution

The third proportional to 200,658 and 435,876 is: 946,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,658 : 435,876 = 435,876 : x
  2. Step 2: Convert to fraction form
    200,658/435,876 = 435,876/x
  3. Step 3: Cross multiply
    200,658x = 435,876 × 435,876
  4. Step 4: Simplify right side
    200,658x = 189,987,887,376
  5. Step 5: Solve for x
    x = 189,987,887,376/200,658
  6. Step 6: Final answer
    x = 946,824.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.