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Finding the Third Proportional to 757.90 and 1,211.84

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Solution

The third proportional to 757.90 and 1,211.84 is: 1,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.90 : 1,211.84 = 1,211.84 : x
  2. Step 2: Convert to fraction form
    757.90/1,211.84 = 1,211.84/x
  3. Step 3: Cross multiply
    757.90x = 1,211.84 × 1,211.84
  4. Step 4: Simplify right side
    757.90x = 1,468,546.34
  5. Step 5: Solve for x
    x = 1,468,546.34/757.90
  6. Step 6: Final answer
    x = 1,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.