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Finding the Third Proportional to 190.08 and 291.65

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Solution

The third proportional to 190.08 and 291.65 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 291.65 = 291.65 : x
  2. Step 2: Convert to fraction form
    190.08/291.65 = 291.65/x
  3. Step 3: Cross multiply
    190.08x = 291.65 × 291.65
  4. Step 4: Simplify right side
    190.08x = 85,058.24
  5. Step 5: Solve for x
    x = 85,058.24/190.08
  6. Step 6: Final answer
    x = 447.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.