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Finding the Third Proportional to 392,319.38 and 831,724.88

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Solution

The third proportional to 392,319.38 and 831,724.88 is: 1,763,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,319.38 : 831,724.88 = 831,724.88 : x
  2. Step 2: Convert to fraction form
    392,319.38/831,724.88 = 831,724.88/x
  3. Step 3: Cross multiply
    392,319.38x = 831,724.88 × 831,724.88
  4. Step 4: Simplify right side
    392,319.38x = 691,766,267,693.77
  5. Step 5: Solve for x
    x = 691,766,267,693.77/392,319.38
  6. Step 6: Final answer
    x = 1,763,273.27

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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.