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Finding the Third Proportional to 315.25 and 660.87

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Solution

The third proportional to 315.25 and 660.87 is: 1,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.25 : 660.87 = 660.87 : x
  2. Step 2: Convert to fraction form
    315.25/660.87 = 660.87/x
  3. Step 3: Cross multiply
    315.25x = 660.87 × 660.87
  4. Step 4: Simplify right side
    315.25x = 436,745.44
  5. Step 5: Solve for x
    x = 436,745.44/315.25
  6. Step 6: Final answer
    x = 1,385.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.