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Finding the Third Proportional to 133.17 and 285.47

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Solution

The third proportional to 133.17 and 285.47 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.17 : 285.47 = 285.47 : x
  2. Step 2: Convert to fraction form
    133.17/285.47 = 285.47/x
  3. Step 3: Cross multiply
    133.17x = 285.47 × 285.47
  4. Step 4: Simplify right side
    133.17x = 81,492.41
  5. Step 5: Solve for x
    x = 81,492.41/133.17
  6. Step 6: Final answer
    x = 611.93

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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.