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Finding the Third Proportional to 7.16 and 15.64

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Solution

The third proportional to 7.16 and 15.64 is: 34.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.16 : 15.64 = 15.64 : x
  2. Step 2: Convert to fraction form
    7.16/15.64 = 15.64/x
  3. Step 3: Cross multiply
    7.16x = 15.64 × 15.64
  4. Step 4: Simplify right side
    7.16x = 244.68
  5. Step 5: Solve for x
    x = 244.68/7.16
  6. Step 6: Final answer
    x = 34.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.