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Finding the Third Proportional to 1,318.78 and 1,981.97

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Solution

The third proportional to 1,318.78 and 1,981.97 is: 2,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.78 : 1,981.97 = 1,981.97 : x
  2. Step 2: Convert to fraction form
    1,318.78/1,981.97 = 1,981.97/x
  3. Step 3: Cross multiply
    1,318.78x = 1,981.97 × 1,981.97
  4. Step 4: Simplify right side
    1,318.78x = 3,928,200.13
  5. Step 5: Solve for x
    x = 3,928,200.13/1,318.78
  6. Step 6: Final answer
    x = 2,978.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.