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Finding the Third Proportional to 5.07 and 13.16

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Solution

The third proportional to 5.07 and 13.16 is: 34.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.07 : 13.16 = 13.16 : x
  2. Step 2: Convert to fraction form
    5.07/13.16 = 13.16/x
  3. Step 3: Cross multiply
    5.07x = 13.16 × 13.16
  4. Step 4: Simplify right side
    5.07x = 173.21
  5. Step 5: Solve for x
    x = 173.21/5.07
  6. Step 6: Final answer
    x = 34.19

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.