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Finding the Third Proportional to 312.88 and 411.94

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Solution

The third proportional to 312.88 and 411.94 is: 542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 411.94 = 411.94 : x
  2. Step 2: Convert to fraction form
    312.88/411.94 = 411.94/x
  3. Step 3: Cross multiply
    312.88x = 411.94 × 411.94
  4. Step 4: Simplify right side
    312.88x = 169,692.50
  5. Step 5: Solve for x
    x = 169,692.50/312.88
  6. Step 6: Final answer
    x = 542.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.