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Finding the Third Proportional to 1,285.72 and 1,981.97

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Solution

The third proportional to 1,285.72 and 1,981.97 is: 3,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.72 : 1,981.97 = 1,981.97 : x
  2. Step 2: Convert to fraction form
    1,285.72/1,981.97 = 1,981.97/x
  3. Step 3: Cross multiply
    1,285.72x = 1,981.97 × 1,981.97
  4. Step 4: Simplify right side
    1,285.72x = 3,928,200.13
  5. Step 5: Solve for x
    x = 3,928,200.13/1,285.72
  6. Step 6: Final answer
    x = 3,055.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.