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Finding the Third Proportional to 391,977 and 831,054

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Solution

The third proportional to 391,977 and 831,054 is: 1,761,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,977 : 831,054 = 831,054 : x
  2. Step 2: Convert to fraction form
    391,977/831,054 = 831,054/x
  3. Step 3: Cross multiply
    391,977x = 831,054 × 831,054
  4. Step 4: Simplify right side
    391,977x = 690,650,750,916
  5. Step 5: Solve for x
    x = 690,650,750,916/391,977
  6. Step 6: Final answer
    x = 1,761,967.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.