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Finding the Third Proportional to 312.25 and 455.75

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Solution

The third proportional to 312.25 and 455.75 is: 665.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 455.75 = 455.75 : x
  2. Step 2: Convert to fraction form
    312.25/455.75 = 455.75/x
  3. Step 3: Cross multiply
    312.25x = 455.75 × 455.75
  4. Step 4: Simplify right side
    312.25x = 207,708.06
  5. Step 5: Solve for x
    x = 207,708.06/312.25
  6. Step 6: Final answer
    x = 665.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.