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Finding the Third Proportional to 427.78 and 920.95

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Solution

The third proportional to 427.78 and 920.95 is: 1,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 920.95 = 920.95 : x
  2. Step 2: Convert to fraction form
    427.78/920.95 = 920.95/x
  3. Step 3: Cross multiply
    427.78x = 920.95 × 920.95
  4. Step 4: Simplify right side
    427.78x = 848,154.66
  5. Step 5: Solve for x
    x = 848,154.66/427.78
  6. Step 6: Final answer
    x = 1,982.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.