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Finding the Third Proportional to 278.94 and 429.09

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Solution

The third proportional to 278.94 and 429.09 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.94 : 429.09 = 429.09 : x
  2. Step 2: Convert to fraction form
    278.94/429.09 = 429.09/x
  3. Step 3: Cross multiply
    278.94x = 429.09 × 429.09
  4. Step 4: Simplify right side
    278.94x = 184,121.45
  5. Step 5: Solve for x
    x = 184,121.45/278.94
  6. Step 6: Final answer
    x = 660.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.