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Finding the Third Proportional to 602,438 and 803,161

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Solution

The third proportional to 602,438 and 803,161 is: 1,070,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,438 : 803,161 = 803,161 : x
  2. Step 2: Convert to fraction form
    602,438/803,161 = 803,161/x
  3. Step 3: Cross multiply
    602,438x = 803,161 × 803,161
  4. Step 4: Simplify right side
    602,438x = 645,067,591,921
  5. Step 5: Solve for x
    x = 645,067,591,921/602,438
  6. Step 6: Final answer
    x = 1,070,761.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.