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Finding the Third Proportional to 215,780 and 440,124

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Solution

The third proportional to 215,780 and 440,124 is: 897,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,780 : 440,124 = 440,124 : x
  2. Step 2: Convert to fraction form
    215,780/440,124 = 440,124/x
  3. Step 3: Cross multiply
    215,780x = 440,124 × 440,124
  4. Step 4: Simplify right side
    215,780x = 193,709,135,376
  5. Step 5: Solve for x
    x = 193,709,135,376/215,780
  6. Step 6: Final answer
    x = 897,715.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.