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Finding the Third Proportional to 88.28 and 187.23

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Solution

The third proportional to 88.28 and 187.23 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.28 : 187.23 = 187.23 : x
  2. Step 2: Convert to fraction form
    88.28/187.23 = 187.23/x
  3. Step 3: Cross multiply
    88.28x = 187.23 × 187.23
  4. Step 4: Simplify right side
    88.28x = 35,056.35
  5. Step 5: Solve for x
    x = 35,056.35/88.28
  6. Step 6: Final answer
    x = 397.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.