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Finding the Third Proportional to 628.17 and 1,352.67

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Solution

The third proportional to 628.17 and 1,352.67 is: 2,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.17 : 1,352.67 = 1,352.67 : x
  2. Step 2: Convert to fraction form
    628.17/1,352.67 = 1,352.67/x
  3. Step 3: Cross multiply
    628.17x = 1,352.67 × 1,352.67
  4. Step 4: Simplify right side
    628.17x = 1,829,721.20
  5. Step 5: Solve for x
    x = 1,829,721.20/628.17
  6. Step 6: Final answer
    x = 2,912.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.