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Finding the Third Proportional to 207,372 and 409,868

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Solution

The third proportional to 207,372 and 409,868 is: 810,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,372 : 409,868 = 409,868 : x
  2. Step 2: Convert to fraction form
    207,372/409,868 = 409,868/x
  3. Step 3: Cross multiply
    207,372x = 409,868 × 409,868
  4. Step 4: Simplify right side
    207,372x = 167,991,777,424
  5. Step 5: Solve for x
    x = 167,991,777,424/207,372
  6. Step 6: Final answer
    x = 810,098.65

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.