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Finding the Third Proportional to 202,399 and 321,689

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Solution

The third proportional to 202,399 and 321,689 is: 511,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,399 : 321,689 = 321,689 : x
  2. Step 2: Convert to fraction form
    202,399/321,689 = 321,689/x
  3. Step 3: Cross multiply
    202,399x = 321,689 × 321,689
  4. Step 4: Simplify right side
    202,399x = 103,483,812,721
  5. Step 5: Solve for x
    x = 103,483,812,721/202,399
  6. Step 6: Final answer
    x = 511,286.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.