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Finding the Third Proportional to 993.52 and 1,581.40

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Solution

The third proportional to 993.52 and 1,581.40 is: 2,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.52 : 1,581.40 = 1,581.40 : x
  2. Step 2: Convert to fraction form
    993.52/1,581.40 = 1,581.40/x
  3. Step 3: Cross multiply
    993.52x = 1,581.40 × 1,581.40
  4. Step 4: Simplify right side
    993.52x = 2,500,821.02
  5. Step 5: Solve for x
    x = 2,500,821.02/993.52
  6. Step 6: Final answer
    x = 2,517.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.