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Finding the Third Proportional to 587,920 and 908,394

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Solution

The third proportional to 587,920 and 908,394 is: 1,403,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,920 : 908,394 = 908,394 : x
  2. Step 2: Convert to fraction form
    587,920/908,394 = 908,394/x
  3. Step 3: Cross multiply
    587,920x = 908,394 × 908,394
  4. Step 4: Simplify right side
    587,920x = 825,179,659,236
  5. Step 5: Solve for x
    x = 825,179,659,236/587,920
  6. Step 6: Final answer
    x = 1,403,557.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.