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Finding the Third Proportional to 1,200.66 and 1,305.28

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Solution

The third proportional to 1,200.66 and 1,305.28 is: 1,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.66 : 1,305.28 = 1,305.28 : x
  2. Step 2: Convert to fraction form
    1,200.66/1,305.28 = 1,305.28/x
  3. Step 3: Cross multiply
    1,200.66x = 1,305.28 × 1,305.28
  4. Step 4: Simplify right side
    1,200.66x = 1,703,759.14
  5. Step 5: Solve for x
    x = 1,703,759.14/1,200.66
  6. Step 6: Final answer
    x = 1,419.02

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.