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Finding the Third Proportional to 429.05 and 486.95

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Solution

The third proportional to 429.05 and 486.95 is: 552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.05 : 486.95 = 486.95 : x
  2. Step 2: Convert to fraction form
    429.05/486.95 = 486.95/x
  3. Step 3: Cross multiply
    429.05x = 486.95 × 486.95
  4. Step 4: Simplify right side
    429.05x = 237,119.54
  5. Step 5: Solve for x
    x = 237,119.54/429.05
  6. Step 6: Final answer
    x = 552.67

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.