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Finding the Third Proportional to 442.88 and 626.44

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Solution

The third proportional to 442.88 and 626.44 is: 886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 626.44 = 626.44 : x
  2. Step 2: Convert to fraction form
    442.88/626.44 = 626.44/x
  3. Step 3: Cross multiply
    442.88x = 626.44 × 626.44
  4. Step 4: Simplify right side
    442.88x = 392,423.94
  5. Step 5: Solve for x
    x = 392,423.94/442.88
  6. Step 6: Final answer
    x = 886.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.