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Finding the Third Proportional to 212.60 and 328.37

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Solution

The third proportional to 212.60 and 328.37 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 328.37 = 328.37 : x
  2. Step 2: Convert to fraction form
    212.60/328.37 = 328.37/x
  3. Step 3: Cross multiply
    212.60x = 328.37 × 328.37
  4. Step 4: Simplify right side
    212.60x = 107,827.09
  5. Step 5: Solve for x
    x = 107,827.09/212.60
  6. Step 6: Final answer
    x = 507.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.