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Finding the Third Proportional to 4.57 and 6.21

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Solution

The third proportional to 4.57 and 6.21 is: 8.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.57 : 6.21 = 6.21 : x
  2. Step 2: Convert to fraction form
    4.57/6.21 = 6.21/x
  3. Step 3: Cross multiply
    4.57x = 6.21 × 6.21
  4. Step 4: Simplify right side
    4.57x = 38.58
  5. Step 5: Solve for x
    x = 38.58/4.57
  6. Step 6: Final answer
    x = 8.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.