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Finding the Third Proportional to 420.94 and 571.38

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Solution

The third proportional to 420.94 and 571.38 is: 775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 571.38 = 571.38 : x
  2. Step 2: Convert to fraction form
    420.94/571.38 = 571.38/x
  3. Step 3: Cross multiply
    420.94x = 571.38 × 571.38
  4. Step 4: Simplify right side
    420.94x = 326,469.39
  5. Step 5: Solve for x
    x = 326,469.39/420.94
  6. Step 6: Final answer
    x = 775.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.