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Finding the Third Proportional to 391,214 and 834,100

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Solution

The third proportional to 391,214 and 834,100 is: 1,778,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,214 : 834,100 = 834,100 : x
  2. Step 2: Convert to fraction form
    391,214/834,100 = 834,100/x
  3. Step 3: Cross multiply
    391,214x = 834,100 × 834,100
  4. Step 4: Simplify right side
    391,214x = 695,722,810,000
  5. Step 5: Solve for x
    x = 695,722,810,000/391,214
  6. Step 6: Final answer
    x = 1,778,368.90

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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.