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Finding the Third Proportional to 409.11 and 883.62

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Solution

The third proportional to 409.11 and 883.62 is: 1,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.11 : 883.62 = 883.62 : x
  2. Step 2: Convert to fraction form
    409.11/883.62 = 883.62/x
  3. Step 3: Cross multiply
    409.11x = 883.62 × 883.62
  4. Step 4: Simplify right side
    409.11x = 780,779.33
  5. Step 5: Solve for x
    x = 780,779.33/409.11
  6. Step 6: Final answer
    x = 1,908.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.