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Finding the Third Proportional to 128.22 and 278.84

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Solution

The third proportional to 128.22 and 278.84 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.22 : 278.84 = 278.84 : x
  2. Step 2: Convert to fraction form
    128.22/278.84 = 278.84/x
  3. Step 3: Cross multiply
    128.22x = 278.84 × 278.84
  4. Step 4: Simplify right side
    128.22x = 77,753.84
  5. Step 5: Solve for x
    x = 77,753.84/128.22
  6. Step 6: Final answer
    x = 606.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.