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Finding the Third Proportional to 391,986 and 831,074

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Solution

The third proportional to 391,986 and 831,074 is: 1,762,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,986 : 831,074 = 831,074 : x
  2. Step 2: Convert to fraction form
    391,986/831,074 = 831,074/x
  3. Step 3: Cross multiply
    391,986x = 831,074 × 831,074
  4. Step 4: Simplify right side
    391,986x = 690,683,993,476
  5. Step 5: Solve for x
    x = 690,683,993,476/391,986
  6. Step 6: Final answer
    x = 1,762,011.89

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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.