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Finding the Third Proportional to 392,557.75 and 862,530.75

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Solution

The third proportional to 392,557.75 and 862,530.75 is: 1,895,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,557.75 : 862,530.75 = 862,530.75 : x
  2. Step 2: Convert to fraction form
    392,557.75/862,530.75 = 862,530.75/x
  3. Step 3: Cross multiply
    392,557.75x = 862,530.75 × 862,530.75
  4. Step 4: Simplify right side
    392,557.75x = 743,959,294,695.56
  5. Step 5: Solve for x
    x = 743,959,294,695.56/392,557.75
  6. Step 6: Final answer
    x = 1,895,158.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.