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Finding the Third Proportional to 999.28 and 1,395.42

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Solution

The third proportional to 999.28 and 1,395.42 is: 1,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.28 : 1,395.42 = 1,395.42 : x
  2. Step 2: Convert to fraction form
    999.28/1,395.42 = 1,395.42/x
  3. Step 3: Cross multiply
    999.28x = 1,395.42 × 1,395.42
  4. Step 4: Simplify right side
    999.28x = 1,947,202.21
  5. Step 5: Solve for x
    x = 1,947,202.21/999.28
  6. Step 6: Final answer
    x = 1,948.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.