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Finding the Third Proportional to 828.81 and 1,245.31

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Solution

The third proportional to 828.81 and 1,245.31 is: 1,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.81 : 1,245.31 = 1,245.31 : x
  2. Step 2: Convert to fraction form
    828.81/1,245.31 = 1,245.31/x
  3. Step 3: Cross multiply
    828.81x = 1,245.31 × 1,245.31
  4. Step 4: Simplify right side
    828.81x = 1,550,803.22
  5. Step 5: Solve for x
    x = 1,550,803.22/828.81
  6. Step 6: Final answer
    x = 1,871.11

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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.