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Finding the Third Proportional to 188.19 and 289.62

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Solution

The third proportional to 188.19 and 289.62 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.19 : 289.62 = 289.62 : x
  2. Step 2: Convert to fraction form
    188.19/289.62 = 289.62/x
  3. Step 3: Cross multiply
    188.19x = 289.62 × 289.62
  4. Step 4: Simplify right side
    188.19x = 83,878.12
  5. Step 5: Solve for x
    x = 83,878.12/188.19
  6. Step 6: Final answer
    x = 445.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.