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Finding the Third Proportional to 374.63 and 643.31

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Solution

The third proportional to 374.63 and 643.31 is: 1,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 643.31 = 643.31 : x
  2. Step 2: Convert to fraction form
    374.63/643.31 = 643.31/x
  3. Step 3: Cross multiply
    374.63x = 643.31 × 643.31
  4. Step 4: Simplify right side
    374.63x = 413,850.97
  5. Step 5: Solve for x
    x = 413,850.97/374.63
  6. Step 6: Final answer
    x = 1,104.71

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.