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Finding the Third Proportional to 429.88 and 477.13

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Solution

The third proportional to 429.88 and 477.13 is: 529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.88 : 477.13 = 477.13 : x
  2. Step 2: Convert to fraction form
    429.88/477.13 = 477.13/x
  3. Step 3: Cross multiply
    429.88x = 477.13 × 477.13
  4. Step 4: Simplify right side
    429.88x = 227,648.27
  5. Step 5: Solve for x
    x = 227,648.27/429.88
  6. Step 6: Final answer
    x = 529.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.