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Finding the Third Proportional to 121.50 and 206.77

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Solution

The third proportional to 121.50 and 206.77 is: 351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 206.77 = 206.77 : x
  2. Step 2: Convert to fraction form
    121.50/206.77 = 206.77/x
  3. Step 3: Cross multiply
    121.50x = 206.77 × 206.77
  4. Step 4: Simplify right side
    121.50x = 42,754.45
  5. Step 5: Solve for x
    x = 42,754.45/121.50
  6. Step 6: Final answer
    x = 351.89

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.