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Finding the Third Proportional to 429.06 and 908.69

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Solution

The third proportional to 429.06 and 908.69 is: 1,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 908.69 = 908.69 : x
  2. Step 2: Convert to fraction form
    429.06/908.69 = 908.69/x
  3. Step 3: Cross multiply
    429.06x = 908.69 × 908.69
  4. Step 4: Simplify right side
    429.06x = 825,712.97
  5. Step 5: Solve for x
    x = 825,712.97/429.06
  6. Step 6: Final answer
    x = 1,924.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.