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Finding the Third Proportional to 1,325.11 and 1,983.55

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Solution

The third proportional to 1,325.11 and 1,983.55 is: 2,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.11 : 1,983.55 = 1,983.55 : x
  2. Step 2: Convert to fraction form
    1,325.11/1,983.55 = 1,983.55/x
  3. Step 3: Cross multiply
    1,325.11x = 1,983.55 × 1,983.55
  4. Step 4: Simplify right side
    1,325.11x = 3,934,473.70
  5. Step 5: Solve for x
    x = 3,934,473.70/1,325.11
  6. Step 6: Final answer
    x = 2,969.17

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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.