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Finding the Third Proportional to 312.19 and 456.75

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Solution

The third proportional to 312.19 and 456.75 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 456.75 = 456.75 : x
  2. Step 2: Convert to fraction form
    312.19/456.75 = 456.75/x
  3. Step 3: Cross multiply
    312.19x = 456.75 × 456.75
  4. Step 4: Simplify right side
    312.19x = 208,620.56
  5. Step 5: Solve for x
    x = 208,620.56/312.19
  6. Step 6: Final answer
    x = 668.25

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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.