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Finding the Third Proportional to 189.84 and 293.31

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Solution

The third proportional to 189.84 and 293.31 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 293.31 = 293.31 : x
  2. Step 2: Convert to fraction form
    189.84/293.31 = 293.31/x
  3. Step 3: Cross multiply
    189.84x = 293.31 × 293.31
  4. Step 4: Simplify right side
    189.84x = 86,029.93
  5. Step 5: Solve for x
    x = 86,029.93/189.84
  6. Step 6: Final answer
    x = 453.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.