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Finding the Third Proportional to 444.23 and 691.98

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Solution

The third proportional to 444.23 and 691.98 is: 1,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.23 : 691.98 = 691.98 : x
  2. Step 2: Convert to fraction form
    444.23/691.98 = 691.98/x
  3. Step 3: Cross multiply
    444.23x = 691.98 × 691.98
  4. Step 4: Simplify right side
    444.23x = 478,836.97
  5. Step 5: Solve for x
    x = 478,836.97/444.23
  6. Step 6: Final answer
    x = 1,077.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.