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Finding the Third Proportional to 1,077.75 and 1,216.13

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Solution

The third proportional to 1,077.75 and 1,216.13 is: 1,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.75 : 1,216.13 = 1,216.13 : x
  2. Step 2: Convert to fraction form
    1,077.75/1,216.13 = 1,216.13/x
  3. Step 3: Cross multiply
    1,077.75x = 1,216.13 × 1,216.13
  4. Step 4: Simplify right side
    1,077.75x = 1,478,960.02
  5. Step 5: Solve for x
    x = 1,478,960.02/1,077.75
  6. Step 6: Final answer
    x = 1,372.27

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.