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Finding the Third Proportional to 26.79 and 58.64

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Solution

The third proportional to 26.79 and 58.64 is: 128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.79 : 58.64 = 58.64 : x
  2. Step 2: Convert to fraction form
    26.79/58.64 = 58.64/x
  3. Step 3: Cross multiply
    26.79x = 58.64 × 58.64
  4. Step 4: Simplify right side
    26.79x = 3,438.72
  5. Step 5: Solve for x
    x = 3,438.72/26.79
  6. Step 6: Final answer
    x = 128.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.