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Finding the Third Proportional to 26.25 and 64.31

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Solution

The third proportional to 26.25 and 64.31 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.25 : 64.31 = 64.31 : x
  2. Step 2: Convert to fraction form
    26.25/64.31 = 64.31/x
  3. Step 3: Cross multiply
    26.25x = 64.31 × 64.31
  4. Step 4: Simplify right side
    26.25x = 4,136.10
  5. Step 5: Solve for x
    x = 4,136.10/26.25
  6. Step 6: Final answer
    x = 157.57

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.