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Finding the Third Proportional to 286.78 and 429.19

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Solution

The third proportional to 286.78 and 429.19 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.78 : 429.19 = 429.19 : x
  2. Step 2: Convert to fraction form
    286.78/429.19 = 429.19/x
  3. Step 3: Cross multiply
    286.78x = 429.19 × 429.19
  4. Step 4: Simplify right side
    286.78x = 184,201.91
  5. Step 5: Solve for x
    x = 184,201.91/286.78
  6. Step 6: Final answer
    x = 642.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.