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Finding the Third Proportional to 2.80 and 7.58

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Solution

The third proportional to 2.80 and 7.58 is: 20.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.80 : 7.58 = 7.58 : x
  2. Step 2: Convert to fraction form
    2.80/7.58 = 7.58/x
  3. Step 3: Cross multiply
    2.80x = 7.58 × 7.58
  4. Step 4: Simplify right side
    2.80x = 57.41
  5. Step 5: Solve for x
    x = 57.41/2.80
  6. Step 6: Final answer
    x = 20.53

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.