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Finding the Third Proportional to 72.93 and 161.64

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Solution

The third proportional to 72.93 and 161.64 is: 358.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.93 : 161.64 = 161.64 : x
  2. Step 2: Convert to fraction form
    72.93/161.64 = 161.64/x
  3. Step 3: Cross multiply
    72.93x = 161.64 × 161.64
  4. Step 4: Simplify right side
    72.93x = 26,128.80
  5. Step 5: Solve for x
    x = 26,128.80/72.93
  6. Step 6: Final answer
    x = 358.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.