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Finding the Third Proportional to 392,170 and 831,429

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Solution

The third proportional to 392,170 and 831,429 is: 1,762,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,170 : 831,429 = 831,429 : x
  2. Step 2: Convert to fraction form
    392,170/831,429 = 831,429/x
  3. Step 3: Cross multiply
    392,170x = 831,429 × 831,429
  4. Step 4: Simplify right side
    392,170x = 691,274,182,041
  5. Step 5: Solve for x
    x = 691,274,182,041/392,170
  6. Step 6: Final answer
    x = 1,762,690.11

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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.