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Finding the Third Proportional to 313.63 and 672.13

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Solution

The third proportional to 313.63 and 672.13 is: 1,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.63 : 672.13 = 672.13 : x
  2. Step 2: Convert to fraction form
    313.63/672.13 = 672.13/x
  3. Step 3: Cross multiply
    313.63x = 672.13 × 672.13
  4. Step 4: Simplify right side
    313.63x = 451,752.02
  5. Step 5: Solve for x
    x = 451,752.02/313.63
  6. Step 6: Final answer
    x = 1,440.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.