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Finding the Third Proportional to 940.78 and 2,011.29

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Solution

The third proportional to 940.78 and 2,011.29 is: 4,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.78 : 2,011.29 = 2,011.29 : x
  2. Step 2: Convert to fraction form
    940.78/2,011.29 = 2,011.29/x
  3. Step 3: Cross multiply
    940.78x = 2,011.29 × 2,011.29
  4. Step 4: Simplify right side
    940.78x = 4,045,283.69
  5. Step 5: Solve for x
    x = 4,045,283.69/940.78
  6. Step 6: Final answer
    x = 4,299.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.