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Finding the Third Proportional to 72.08 and 95.31

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Solution

The third proportional to 72.08 and 95.31 is: 126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.08 : 95.31 = 95.31 : x
  2. Step 2: Convert to fraction form
    72.08/95.31 = 95.31/x
  3. Step 3: Cross multiply
    72.08x = 95.31 × 95.31
  4. Step 4: Simplify right side
    72.08x = 9,083.52
  5. Step 5: Solve for x
    x = 9,083.52/72.08
  6. Step 6: Final answer
    x = 126.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.