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Finding the Third Proportional to 189.70 and 288.49

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Solution

The third proportional to 189.70 and 288.49 is: 438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.70 : 288.49 = 288.49 : x
  2. Step 2: Convert to fraction form
    189.70/288.49 = 288.49/x
  3. Step 3: Cross multiply
    189.70x = 288.49 × 288.49
  4. Step 4: Simplify right side
    189.70x = 83,227.74
  5. Step 5: Solve for x
    x = 83,227.74/189.70
  6. Step 6: Final answer
    x = 438.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.