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Finding the Third Proportional to 134.73 and 287.73

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Solution

The third proportional to 134.73 and 287.73 is: 614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.73 : 287.73 = 287.73 : x
  2. Step 2: Convert to fraction form
    134.73/287.73 = 287.73/x
  3. Step 3: Cross multiply
    134.73x = 287.73 × 287.73
  4. Step 4: Simplify right side
    134.73x = 82,789.67
  5. Step 5: Solve for x
    x = 82,789.67/134.73
  6. Step 6: Final answer
    x = 614.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.