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Finding the Third Proportional to 427.92 and 922.78

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Solution

The third proportional to 427.92 and 922.78 is: 1,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.92 : 922.78 = 922.78 : x
  2. Step 2: Convert to fraction form
    427.92/922.78 = 922.78/x
  3. Step 3: Cross multiply
    427.92x = 922.78 × 922.78
  4. Step 4: Simplify right side
    427.92x = 851,525.24
  5. Step 5: Solve for x
    x = 851,525.24/427.92
  6. Step 6: Final answer
    x = 1,989.91

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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.