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Finding the Third Proportional to 189.38 and 442.50

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Solution

The third proportional to 189.38 and 442.50 is: 1,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 442.50 = 442.50 : x
  2. Step 2: Convert to fraction form
    189.38/442.50 = 442.50/x
  3. Step 3: Cross multiply
    189.38x = 442.50 × 442.50
  4. Step 4: Simplify right side
    189.38x = 195,806.25
  5. Step 5: Solve for x
    x = 195,806.25/189.38
  6. Step 6: Final answer
    x = 1,033.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.