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Finding the Third Proportional to 26.16 and 53.58

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Solution

The third proportional to 26.16 and 53.58 is: 109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.16 : 53.58 = 53.58 : x
  2. Step 2: Convert to fraction form
    26.16/53.58 = 53.58/x
  3. Step 3: Cross multiply
    26.16x = 53.58 × 53.58
  4. Step 4: Simplify right side
    26.16x = 2,870.62
  5. Step 5: Solve for x
    x = 2,870.62/26.16
  6. Step 6: Final answer
    x = 109.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.