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Finding the Third Proportional to 224,166 and 480,876

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Solution

The third proportional to 224,166 and 480,876 is: 1,031,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,166 : 480,876 = 480,876 : x
  2. Step 2: Convert to fraction form
    224,166/480,876 = 480,876/x
  3. Step 3: Cross multiply
    224,166x = 480,876 × 480,876
  4. Step 4: Simplify right side
    224,166x = 231,241,727,376
  5. Step 5: Solve for x
    x = 231,241,727,376/224,166
  6. Step 6: Final answer
    x = 1,031,564.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.