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Finding the Third Proportional to 1,110.80 and 1,669.04

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Solution

The third proportional to 1,110.80 and 1,669.04 is: 2,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.80 : 1,669.04 = 1,669.04 : x
  2. Step 2: Convert to fraction form
    1,110.80/1,669.04 = 1,669.04/x
  3. Step 3: Cross multiply
    1,110.80x = 1,669.04 × 1,669.04
  4. Step 4: Simplify right side
    1,110.80x = 2,785,704.43
  5. Step 5: Solve for x
    x = 2,785,704.43/1,110.80
  6. Step 6: Final answer
    x = 2,507.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.