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Finding the Third Proportional to 220,476 and 331,011

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Solution

The third proportional to 220,476 and 331,011 is: 496,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,476 : 331,011 = 331,011 : x
  2. Step 2: Convert to fraction form
    220,476/331,011 = 331,011/x
  3. Step 3: Cross multiply
    220,476x = 331,011 × 331,011
  4. Step 4: Simplify right side
    220,476x = 109,568,282,121
  5. Step 5: Solve for x
    x = 109,568,282,121/220,476
  6. Step 6: Final answer
    x = 496,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.