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Finding the Third Proportional to 190.69 and 302.16

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Solution

The third proportional to 190.69 and 302.16 is: 478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 302.16 = 302.16 : x
  2. Step 2: Convert to fraction form
    190.69/302.16 = 302.16/x
  3. Step 3: Cross multiply
    190.69x = 302.16 × 302.16
  4. Step 4: Simplify right side
    190.69x = 91,298.40
  5. Step 5: Solve for x
    x = 91,298.40/190.69
  6. Step 6: Final answer
    x = 478.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.