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Finding the Third Proportional to 26 and 45.13

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Solution

The third proportional to 26 and 45.13 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 45.13 = 45.13 : x
  2. Step 2: Convert to fraction form
    26/45.13 = 45.13/x
  3. Step 3: Cross multiply
    26x = 45.13 × 45.13
  4. Step 4: Simplify right side
    26x = 2,036.27
  5. Step 5: Solve for x
    x = 2,036.27/26
  6. Step 6: Final answer
    x = 78.32

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.