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Finding the Third Proportional to 4.03 and 6.37

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Solution

The third proportional to 4.03 and 6.37 is: 10.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.03 : 6.37 = 6.37 : x
  2. Step 2: Convert to fraction form
    4.03/6.37 = 6.37/x
  3. Step 3: Cross multiply
    4.03x = 6.37 × 6.37
  4. Step 4: Simplify right side
    4.03x = 40.55
  5. Step 5: Solve for x
    x = 40.55/4.03
  6. Step 6: Final answer
    x = 10.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.