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Finding the Third Proportional to 754.31 and 1,251.28

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Solution

The third proportional to 754.31 and 1,251.28 is: 2,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.31 : 1,251.28 = 1,251.28 : x
  2. Step 2: Convert to fraction form
    754.31/1,251.28 = 1,251.28/x
  3. Step 3: Cross multiply
    754.31x = 1,251.28 × 1,251.28
  4. Step 4: Simplify right side
    754.31x = 1,565,704.77
  5. Step 5: Solve for x
    x = 1,565,704.77/754.31
  6. Step 6: Final answer
    x = 2,075.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.