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Finding the Third Proportional to 1,218.80 and 1,356.75

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Solution

The third proportional to 1,218.80 and 1,356.75 is: 1,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.80 : 1,356.75 = 1,356.75 : x
  2. Step 2: Convert to fraction form
    1,218.80/1,356.75 = 1,356.75/x
  3. Step 3: Cross multiply
    1,218.80x = 1,356.75 × 1,356.75
  4. Step 4: Simplify right side
    1,218.80x = 1,840,770.56
  5. Step 5: Solve for x
    x = 1,840,770.56/1,218.80
  6. Step 6: Final answer
    x = 1,510.32

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.