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Finding the Third Proportional to 312.75 and 669.38

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Solution

The third proportional to 312.75 and 669.38 is: 1,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 669.38 = 669.38 : x
  2. Step 2: Convert to fraction form
    312.75/669.38 = 669.38/x
  3. Step 3: Cross multiply
    312.75x = 669.38 × 669.38
  4. Step 4: Simplify right side
    312.75x = 448,062.89
  5. Step 5: Solve for x
    x = 448,062.89/312.75
  6. Step 6: Final answer
    x = 1,432.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.