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Finding the Third Proportional to 312.84 and 680.53

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Solution

The third proportional to 312.84 and 680.53 is: 1,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 680.53 = 680.53 : x
  2. Step 2: Convert to fraction form
    312.84/680.53 = 680.53/x
  3. Step 3: Cross multiply
    312.84x = 680.53 × 680.53
  4. Step 4: Simplify right side
    312.84x = 463,122.78
  5. Step 5: Solve for x
    x = 463,122.78/312.84
  6. Step 6: Final answer
    x = 1,480.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.