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Finding the Third Proportional to 312.19 and 449.72

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Solution

The third proportional to 312.19 and 449.72 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 449.72 = 449.72 : x
  2. Step 2: Convert to fraction form
    312.19/449.72 = 449.72/x
  3. Step 3: Cross multiply
    312.19x = 449.72 × 449.72
  4. Step 4: Simplify right side
    312.19x = 202,246.95
  5. Step 5: Solve for x
    x = 202,246.95/312.19
  6. Step 6: Final answer
    x = 647.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.