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Finding the Third Proportional to 202,867 and 315,782

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Solution

The third proportional to 202,867 and 315,782 is: 491,545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,867 : 315,782 = 315,782 : x
  2. Step 2: Convert to fraction form
    202,867/315,782 = 315,782/x
  3. Step 3: Cross multiply
    202,867x = 315,782 × 315,782
  4. Step 4: Simplify right side
    202,867x = 99,718,271,524
  5. Step 5: Solve for x
    x = 99,718,271,524/202,867
  6. Step 6: Final answer
    x = 491,545.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.