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Finding the Third Proportional to 312.94 and 411.28

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Solution

The third proportional to 312.94 and 411.28 is: 540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 411.28 = 411.28 : x
  2. Step 2: Convert to fraction form
    312.94/411.28 = 411.28/x
  3. Step 3: Cross multiply
    312.94x = 411.28 × 411.28
  4. Step 4: Simplify right side
    312.94x = 169,152.27
  5. Step 5: Solve for x
    x = 169,152.27/312.94
  6. Step 6: Final answer
    x = 540.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.