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Finding the Third Proportional to 427.78 and 540.42

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Solution

The third proportional to 427.78 and 540.42 is: 682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 540.42 = 540.42 : x
  2. Step 2: Convert to fraction form
    427.78/540.42 = 540.42/x
  3. Step 3: Cross multiply
    427.78x = 540.42 × 540.42
  4. Step 4: Simplify right side
    427.78x = 292,055.80
  5. Step 5: Solve for x
    x = 292,055.80/427.78
  6. Step 6: Final answer
    x = 682.72

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.