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Finding the Third Proportional to 354.59 and 476.09

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Solution

The third proportional to 354.59 and 476.09 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.59 : 476.09 = 476.09 : x
  2. Step 2: Convert to fraction form
    354.59/476.09 = 476.09/x
  3. Step 3: Cross multiply
    354.59x = 476.09 × 476.09
  4. Step 4: Simplify right side
    354.59x = 226,657.82
  5. Step 5: Solve for x
    x = 226,657.82/354.59
  6. Step 6: Final answer
    x = 639.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.