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Finding the Third Proportional to 828.98 and 1,245.52

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Solution

The third proportional to 828.98 and 1,245.52 is: 1,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,245.52 = 1,245.52 : x
  2. Step 2: Convert to fraction form
    828.98/1,245.52 = 1,245.52/x
  3. Step 3: Cross multiply
    828.98x = 1,245.52 × 1,245.52
  4. Step 4: Simplify right side
    828.98x = 1,551,309.17
  5. Step 5: Solve for x
    x = 1,551,309.17/828.98
  6. Step 6: Final answer
    x = 1,871.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.