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Finding the Third Proportional to 72.09 and 157.97

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Solution

The third proportional to 72.09 and 157.97 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.09 : 157.97 = 157.97 : x
  2. Step 2: Convert to fraction form
    72.09/157.97 = 157.97/x
  3. Step 3: Cross multiply
    72.09x = 157.97 × 157.97
  4. Step 4: Simplify right side
    72.09x = 24,954.13
  5. Step 5: Solve for x
    x = 24,954.13/72.09
  6. Step 6: Final answer
    x = 346.13

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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.