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Finding the Third Proportional to 749 and 1,120.75

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Solution

The third proportional to 749 and 1,120.75 is: 1,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,120.75 = 1,120.75 : x
  2. Step 2: Convert to fraction form
    749/1,120.75 = 1,120.75/x
  3. Step 3: Cross multiply
    749x = 1,120.75 × 1,120.75
  4. Step 4: Simplify right side
    749x = 1,256,080.56
  5. Step 5: Solve for x
    x = 1,256,080.56/749
  6. Step 6: Final answer
    x = 1,677.01

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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.