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Finding the Third Proportional to 4.13 and 6.52

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Solution

The third proportional to 4.13 and 6.52 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 6.52 = 6.52 : x
  2. Step 2: Convert to fraction form
    4.13/6.52 = 6.52/x
  3. Step 3: Cross multiply
    4.13x = 6.52 × 6.52
  4. Step 4: Simplify right side
    4.13x = 42.56
  5. Step 5: Solve for x
    x = 42.56/4.13
  6. Step 6: Final answer
    x = 10.31

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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.