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Finding the Third Proportional to 121.78 and 214.03

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Solution

The third proportional to 121.78 and 214.03 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 214.03 = 214.03 : x
  2. Step 2: Convert to fraction form
    121.78/214.03 = 214.03/x
  3. Step 3: Cross multiply
    121.78x = 214.03 × 214.03
  4. Step 4: Simplify right side
    121.78x = 45,809.38
  5. Step 5: Solve for x
    x = 45,809.38/121.78
  6. Step 6: Final answer
    x = 376.16

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.