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Finding the Third Proportional to 88.80 and 189.93

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Solution

The third proportional to 88.80 and 189.93 is: 406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 189.93 = 189.93 : x
  2. Step 2: Convert to fraction form
    88.80/189.93 = 189.93/x
  3. Step 3: Cross multiply
    88.80x = 189.93 × 189.93
  4. Step 4: Simplify right side
    88.80x = 36,073.29
  5. Step 5: Solve for x
    x = 36,073.29/88.80
  6. Step 6: Final answer
    x = 406.24

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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.