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Finding the Third Proportional to 427.71 and 577.55

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Solution

The third proportional to 427.71 and 577.55 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.71 : 577.55 = 577.55 : x
  2. Step 2: Convert to fraction form
    427.71/577.55 = 577.55/x
  3. Step 3: Cross multiply
    427.71x = 577.55 × 577.55
  4. Step 4: Simplify right side
    427.71x = 333,560.39
  5. Step 5: Solve for x
    x = 333,560.39/427.71
  6. Step 6: Final answer
    x = 779.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.