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Finding the Third Proportional to 2.91 and 6.52

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Solution

The third proportional to 2.91 and 6.52 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.91 : 6.52 = 6.52 : x
  2. Step 2: Convert to fraction form
    2.91/6.52 = 6.52/x
  3. Step 3: Cross multiply
    2.91x = 6.52 × 6.52
  4. Step 4: Simplify right side
    2.91x = 42.45
  5. Step 5: Solve for x
    x = 42.45/2.91
  6. Step 6: Final answer
    x = 14.61

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.