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Finding the Third Proportional to 444.87 and 675.21

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Solution

The third proportional to 444.87 and 675.21 is: 1,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.87 : 675.21 = 675.21 : x
  2. Step 2: Convert to fraction form
    444.87/675.21 = 675.21/x
  3. Step 3: Cross multiply
    444.87x = 675.21 × 675.21
  4. Step 4: Simplify right side
    444.87x = 455,909.81
  5. Step 5: Solve for x
    x = 455,909.81/444.87
  6. Step 6: Final answer
    x = 1,024.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.