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Finding the Third Proportional to 814.18 and 1,261.48

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Solution

The third proportional to 814.18 and 1,261.48 is: 1,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.18 : 1,261.48 = 1,261.48 : x
  2. Step 2: Convert to fraction form
    814.18/1,261.48 = 1,261.48/x
  3. Step 3: Cross multiply
    814.18x = 1,261.48 × 1,261.48
  4. Step 4: Simplify right side
    814.18x = 1,591,323.12
  5. Step 5: Solve for x
    x = 1,591,323.12/814.18
  6. Step 6: Final answer
    x = 1,954.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.