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Finding the Third Proportional to 153.98 and 209.67

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Solution

The third proportional to 153.98 and 209.67 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.98 : 209.67 = 209.67 : x
  2. Step 2: Convert to fraction form
    153.98/209.67 = 209.67/x
  3. Step 3: Cross multiply
    153.98x = 209.67 × 209.67
  4. Step 4: Simplify right side
    153.98x = 43,962.30
  5. Step 5: Solve for x
    x = 43,962.30/153.98
  6. Step 6: Final answer
    x = 285.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.