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Finding the Third Proportional to 10.35 and 26.59

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Solution

The third proportional to 10.35 and 26.59 is: 68.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.35 : 26.59 = 26.59 : x
  2. Step 2: Convert to fraction form
    10.35/26.59 = 26.59/x
  3. Step 3: Cross multiply
    10.35x = 26.59 × 26.59
  4. Step 4: Simplify right side
    10.35x = 706.89
  5. Step 5: Solve for x
    x = 706.89/10.35
  6. Step 6: Final answer
    x = 68.29

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.