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Finding the Third Proportional to 831,720 and 1,253,493

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Solution

The third proportional to 831,720 and 1,253,493 is: 1,889,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,720 : 1,253,493 = 1,253,493 : x
  2. Step 2: Convert to fraction form
    831,720/1,253,493 = 1,253,493/x
  3. Step 3: Cross multiply
    831,720x = 1,253,493 × 1,253,493
  4. Step 4: Simplify right side
    831,720x = 1,571,244,701,049
  5. Step 5: Solve for x
    x = 1,571,244,701,049/831,720
  6. Step 6: Final answer
    x = 1,889,151.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.