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Finding the Third Proportional to 1,181.25 and 1,280.81

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Solution

The third proportional to 1,181.25 and 1,280.81 is: 1,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.25 : 1,280.81 = 1,280.81 : x
  2. Step 2: Convert to fraction form
    1,181.25/1,280.81 = 1,280.81/x
  3. Step 3: Cross multiply
    1,181.25x = 1,280.81 × 1,280.81
  4. Step 4: Simplify right side
    1,181.25x = 1,640,480.66
  5. Step 5: Solve for x
    x = 1,640,480.66/1,181.25
  6. Step 6: Final answer
    x = 1,388.77

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.