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Finding the Third Proportional to 190.08 and 277.65

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Solution

The third proportional to 190.08 and 277.65 is: 405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.08 : 277.65 = 277.65 : x
  2. Step 2: Convert to fraction form
    190.08/277.65 = 277.65/x
  3. Step 3: Cross multiply
    190.08x = 277.65 × 277.65
  4. Step 4: Simplify right side
    190.08x = 77,087.57
  5. Step 5: Solve for x
    x = 77,087.57/190.08
  6. Step 6: Final answer
    x = 405.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.