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Finding the Third Proportional to 312.50 and 638.38

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Solution

The third proportional to 312.50 and 638.38 is: 1,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 638.38 = 638.38 : x
  2. Step 2: Convert to fraction form
    312.50/638.38 = 638.38/x
  3. Step 3: Cross multiply
    312.50x = 638.38 × 638.38
  4. Step 4: Simplify right side
    312.50x = 407,522.64
  5. Step 5: Solve for x
    x = 407,522.64/312.50
  6. Step 6: Final answer
    x = 1,304.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.