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Finding the Third Proportional to 212.91 and 325.64

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Solution

The third proportional to 212.91 and 325.64 is: 498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 325.64 = 325.64 : x
  2. Step 2: Convert to fraction form
    212.91/325.64 = 325.64/x
  3. Step 3: Cross multiply
    212.91x = 325.64 × 325.64
  4. Step 4: Simplify right side
    212.91x = 106,041.82
  5. Step 5: Solve for x
    x = 106,041.82/212.91
  6. Step 6: Final answer
    x = 498.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.