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Finding the Third Proportional to 212.77 and 320.41

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Solution

The third proportional to 212.77 and 320.41 is: 482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 320.41 = 320.41 : x
  2. Step 2: Convert to fraction form
    212.77/320.41 = 320.41/x
  3. Step 3: Cross multiply
    212.77x = 320.41 × 320.41
  4. Step 4: Simplify right side
    212.77x = 102,665.17
  5. Step 5: Solve for x
    x = 102,665.17/212.77
  6. Step 6: Final answer
    x = 482.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.