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Finding the Third Proportional to 372.73 and 405.95

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Solution

The third proportional to 372.73 and 405.95 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.73 : 405.95 = 405.95 : x
  2. Step 2: Convert to fraction form
    372.73/405.95 = 405.95/x
  3. Step 3: Cross multiply
    372.73x = 405.95 × 405.95
  4. Step 4: Simplify right side
    372.73x = 164,794.77
  5. Step 5: Solve for x
    x = 164,794.77/372.73
  6. Step 6: Final answer
    x = 442.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.