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Finding the Third Proportional to 312.71 and 444.55

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Solution

The third proportional to 312.71 and 444.55 is: 631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 444.55 = 444.55 : x
  2. Step 2: Convert to fraction form
    312.71/444.55 = 444.55/x
  3. Step 3: Cross multiply
    312.71x = 444.55 × 444.55
  4. Step 4: Simplify right side
    312.71x = 197,625.40
  5. Step 5: Solve for x
    x = 197,625.40/312.71
  6. Step 6: Final answer
    x = 631.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.