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Finding the Third Proportional to 445.13 and 643.31

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Solution

The third proportional to 445.13 and 643.31 is: 929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.13 : 643.31 = 643.31 : x
  2. Step 2: Convert to fraction form
    445.13/643.31 = 643.31/x
  3. Step 3: Cross multiply
    445.13x = 643.31 × 643.31
  4. Step 4: Simplify right side
    445.13x = 413,850.97
  5. Step 5: Solve for x
    x = 413,850.97/445.13
  6. Step 6: Final answer
    x = 929.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.