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Finding the Third Proportional to 193.64 and 285.71

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Solution

The third proportional to 193.64 and 285.71 is: 421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 285.71 = 285.71 : x
  2. Step 2: Convert to fraction form
    193.64/285.71 = 285.71/x
  3. Step 3: Cross multiply
    193.64x = 285.71 × 285.71
  4. Step 4: Simplify right side
    193.64x = 81,632.97
  5. Step 5: Solve for x
    x = 81,632.97/193.64
  6. Step 6: Final answer
    x = 421.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.