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Finding the Third Proportional to 427.78 and 905.91

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Solution

The third proportional to 427.78 and 905.91 is: 1,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 905.91 = 905.91 : x
  2. Step 2: Convert to fraction form
    427.78/905.91 = 905.91/x
  3. Step 3: Cross multiply
    427.78x = 905.91 × 905.91
  4. Step 4: Simplify right side
    427.78x = 820,666.13
  5. Step 5: Solve for x
    x = 820,666.13/427.78
  6. Step 6: Final answer
    x = 1,918.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.