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Finding the Third Proportional to 13.03 and 26.30

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Solution

The third proportional to 13.03 and 26.30 is: 53.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 26.30 = 26.30 : x
  2. Step 2: Convert to fraction form
    13.03/26.30 = 26.30/x
  3. Step 3: Cross multiply
    13.03x = 26.30 × 26.30
  4. Step 4: Simplify right side
    13.03x = 691.53
  5. Step 5: Solve for x
    x = 691.53/13.03
  6. Step 6: Final answer
    x = 53.07

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.