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Finding the Third Proportional to 827.02 and 1,283.20

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Solution

The third proportional to 827.02 and 1,283.20 is: 1,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.02 : 1,283.20 = 1,283.20 : x
  2. Step 2: Convert to fraction form
    827.02/1,283.20 = 1,283.20/x
  3. Step 3: Cross multiply
    827.02x = 1,283.20 × 1,283.20
  4. Step 4: Simplify right side
    827.02x = 1,646,610.26
  5. Step 5: Solve for x
    x = 1,646,610.26/827.02
  6. Step 6: Final answer
    x = 1,991.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.