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Finding the Third Proportional to 2.53 and 6.58

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Solution

The third proportional to 2.53 and 6.58 is: 17.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.53 : 6.58 = 6.58 : x
  2. Step 2: Convert to fraction form
    2.53/6.58 = 6.58/x
  3. Step 3: Cross multiply
    2.53x = 6.58 × 6.58
  4. Step 4: Simplify right side
    2.53x = 43.30
  5. Step 5: Solve for x
    x = 43.30/2.53
  6. Step 6: Final answer
    x = 17.09

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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.