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Finding the Third Proportional to 319.81 and 663.63

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Solution

The third proportional to 319.81 and 663.63 is: 1,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.81 : 663.63 = 663.63 : x
  2. Step 2: Convert to fraction form
    319.81/663.63 = 663.63/x
  3. Step 3: Cross multiply
    319.81x = 663.63 × 663.63
  4. Step 4: Simplify right side
    319.81x = 440,398.14
  5. Step 5: Solve for x
    x = 440,398.14/319.81
  6. Step 6: Final answer
    x = 1,377.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.