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Finding the Third Proportional to 391,248 and 834,170

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Solution

The third proportional to 391,248 and 834,170 is: 1,778,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,248 : 834,170 = 834,170 : x
  2. Step 2: Convert to fraction form
    391,248/834,170 = 834,170/x
  3. Step 3: Cross multiply
    391,248x = 834,170 × 834,170
  4. Step 4: Simplify right side
    391,248x = 695,839,588,900
  5. Step 5: Solve for x
    x = 695,839,588,900/391,248
  6. Step 6: Final answer
    x = 1,778,512.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.