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Finding the Third Proportional to 429.13 and 902.88

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Solution

The third proportional to 429.13 and 902.88 is: 1,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.13 : 902.88 = 902.88 : x
  2. Step 2: Convert to fraction form
    429.13/902.88 = 902.88/x
  3. Step 3: Cross multiply
    429.13x = 902.88 × 902.88
  4. Step 4: Simplify right side
    429.13x = 815,183.27
  5. Step 5: Solve for x
    x = 815,183.27/429.13
  6. Step 6: Final answer
    x = 1,899.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.