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Finding the Third Proportional to 190.58 and 285.93

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Solution

The third proportional to 190.58 and 285.93 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.58 : 285.93 = 285.93 : x
  2. Step 2: Convert to fraction form
    190.58/285.93 = 285.93/x
  3. Step 3: Cross multiply
    190.58x = 285.93 × 285.93
  4. Step 4: Simplify right side
    190.58x = 81,753.55
  5. Step 5: Solve for x
    x = 81,753.55/190.58
  6. Step 6: Final answer
    x = 428.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.