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Finding the Third Proportional to 134.20 and 285.98

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Solution

The third proportional to 134.20 and 285.98 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 285.98 = 285.98 : x
  2. Step 2: Convert to fraction form
    134.20/285.98 = 285.98/x
  3. Step 3: Cross multiply
    134.20x = 285.98 × 285.98
  4. Step 4: Simplify right side
    134.20x = 81,787.06
  5. Step 5: Solve for x
    x = 81,787.06/134.20
  6. Step 6: Final answer
    x = 609.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.