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Finding the Third Proportional to 676.31 and 1,657.69

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Solution

The third proportional to 676.31 and 1,657.69 is: 4,063.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.31 : 1,657.69 = 1,657.69 : x
  2. Step 2: Convert to fraction form
    676.31/1,657.69 = 1,657.69/x
  3. Step 3: Cross multiply
    676.31x = 1,657.69 × 1,657.69
  4. Step 4: Simplify right side
    676.31x = 2,747,927.85
  5. Step 5: Solve for x
    x = 2,747,927.85/676.31
  6. Step 6: Final answer
    x = 4,063.10

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.