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Finding the Third Proportional to 217,008 and 331,765.88

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Solution

The third proportional to 217,008 and 331,765.88 is: 507,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,008 : 331,765.88 = 331,765.88 : x
  2. Step 2: Convert to fraction form
    217,008/331,765.88 = 331,765.88/x
  3. Step 3: Cross multiply
    217,008x = 331,765.88 × 331,765.88
  4. Step 4: Simplify right side
    217,008x = 110,068,595,814.52
  5. Step 5: Solve for x
    x = 110,068,595,814.52/217,008
  6. Step 6: Final answer
    x = 507,209.85

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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.