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Finding the Third Proportional to 133.59 and 288.98

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Solution

The third proportional to 133.59 and 288.98 is: 625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.59 : 288.98 = 288.98 : x
  2. Step 2: Convert to fraction form
    133.59/288.98 = 288.98/x
  3. Step 3: Cross multiply
    133.59x = 288.98 × 288.98
  4. Step 4: Simplify right side
    133.59x = 83,511.97
  5. Step 5: Solve for x
    x = 83,511.97/133.59
  6. Step 6: Final answer
    x = 625.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.