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Finding the Third Proportional to 293.91 and 643.92

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Solution

The third proportional to 293.91 and 643.92 is: 1,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.91 : 643.92 = 643.92 : x
  2. Step 2: Convert to fraction form
    293.91/643.92 = 643.92/x
  3. Step 3: Cross multiply
    293.91x = 643.92 × 643.92
  4. Step 4: Simplify right side
    293.91x = 414,635.38
  5. Step 5: Solve for x
    x = 414,635.38/293.91
  6. Step 6: Final answer
    x = 1,410.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.