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Finding the Third Proportional to 427.88 and 940.69

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Solution

The third proportional to 427.88 and 940.69 is: 2,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.88 : 940.69 = 940.69 : x
  2. Step 2: Convert to fraction form
    427.88/940.69 = 940.69/x
  3. Step 3: Cross multiply
    427.88x = 940.69 × 940.69
  4. Step 4: Simplify right side
    427.88x = 884,892.97
  5. Step 5: Solve for x
    x = 884,892.97/427.88
  6. Step 6: Final answer
    x = 2,068.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.