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Finding the Third Proportional to 88.31 and 189.14

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Solution

The third proportional to 88.31 and 189.14 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 189.14 = 189.14 : x
  2. Step 2: Convert to fraction form
    88.31/189.14 = 189.14/x
  3. Step 3: Cross multiply
    88.31x = 189.14 × 189.14
  4. Step 4: Simplify right side
    88.31x = 35,774.18
  5. Step 5: Solve for x
    x = 35,774.18/88.31
  6. Step 6: Final answer
    x = 405.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.