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Finding the Third Proportional to 305.44 and 429.12

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Solution

The third proportional to 305.44 and 429.12 is: 602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 429.12 = 429.12 : x
  2. Step 2: Convert to fraction form
    305.44/429.12 = 429.12/x
  3. Step 3: Cross multiply
    305.44x = 429.12 × 429.12
  4. Step 4: Simplify right side
    305.44x = 184,141.56
  5. Step 5: Solve for x
    x = 184,141.56/305.44
  6. Step 6: Final answer
    x = 602.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.