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Finding the Third Proportional to 72.38 and 93.28

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Solution

The third proportional to 72.38 and 93.28 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.38 : 93.28 = 93.28 : x
  2. Step 2: Convert to fraction form
    72.38/93.28 = 93.28/x
  3. Step 3: Cross multiply
    72.38x = 93.28 × 93.28
  4. Step 4: Simplify right side
    72.38x = 8,701.39
  5. Step 5: Solve for x
    x = 8,701.39/72.38
  6. Step 6: Final answer
    x = 120.23

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.