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Finding the Third Proportional to 442.31 and 476.06

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Solution

The third proportional to 442.31 and 476.06 is: 512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.31 : 476.06 = 476.06 : x
  2. Step 2: Convert to fraction form
    442.31/476.06 = 476.06/x
  3. Step 3: Cross multiply
    442.31x = 476.06 × 476.06
  4. Step 4: Simplify right side
    442.31x = 226,635.50
  5. Step 5: Solve for x
    x = 226,635.50/442.31
  6. Step 6: Final answer
    x = 512.39

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.