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Finding the Third Proportional to 215,331 and 330,529

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Solution

The third proportional to 215,331 and 330,529 is: 507,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,331 : 330,529 = 330,529 : x
  2. Step 2: Convert to fraction form
    215,331/330,529 = 330,529/x
  3. Step 3: Cross multiply
    215,331x = 330,529 × 330,529
  4. Step 4: Simplify right side
    215,331x = 109,249,419,841
  5. Step 5: Solve for x
    x = 109,249,419,841/215,331
  6. Step 6: Final answer
    x = 507,355.74

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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.