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Finding the Third Proportional to 189.66 and 253.50

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Solution

The third proportional to 189.66 and 253.50 is: 338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.66 : 253.50 = 253.50 : x
  2. Step 2: Convert to fraction form
    189.66/253.50 = 253.50/x
  3. Step 3: Cross multiply
    189.66x = 253.50 × 253.50
  4. Step 4: Simplify right side
    189.66x = 64,262.25
  5. Step 5: Solve for x
    x = 64,262.25/189.66
  6. Step 6: Final answer
    x = 338.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.