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Finding the Third Proportional to 474.44 and 688.38

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Solution

The third proportional to 474.44 and 688.38 is: 998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 688.38 = 688.38 : x
  2. Step 2: Convert to fraction form
    474.44/688.38 = 688.38/x
  3. Step 3: Cross multiply
    474.44x = 688.38 × 688.38
  4. Step 4: Simplify right side
    474.44x = 473,860.14
  5. Step 5: Solve for x
    x = 473,860.14/474.44
  6. Step 6: Final answer
    x = 998.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.