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Finding the Third Proportional to 427.69 and 557.53

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Solution

The third proportional to 427.69 and 557.53 is: 726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 557.53 = 557.53 : x
  2. Step 2: Convert to fraction form
    427.69/557.53 = 557.53/x
  3. Step 3: Cross multiply
    427.69x = 557.53 × 557.53
  4. Step 4: Simplify right side
    427.69x = 310,841.09
  5. Step 5: Solve for x
    x = 310,841.09/427.69
  6. Step 6: Final answer
    x = 726.79

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.