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Finding the Third Proportional to 400.92 and 841.92

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Solution

The third proportional to 400.92 and 841.92 is: 1,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 841.92 = 841.92 : x
  2. Step 2: Convert to fraction form
    400.92/841.92 = 841.92/x
  3. Step 3: Cross multiply
    400.92x = 841.92 × 841.92
  4. Step 4: Simplify right side
    400.92x = 708,832.44
  5. Step 5: Solve for x
    x = 708,832.44/400.92
  6. Step 6: Final answer
    x = 1,768.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.