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Finding the Third Proportional to 381,506,191.73 and 821,469,902.48

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Solution

The third proportional to 381,506,191.73 and 821,469,902.48 is: 1,768,812,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,506,191.73 : 821,469,902.48 = 821,469,902.48 : x
  2. Step 2: Convert to fraction form
    381,506,191.73/821,469,902.48 = 821,469,902.48/x
  3. Step 3: Cross multiply
    381,506,191.73x = 821,469,902.48 × 821,469,902.48
  4. Step 4: Simplify right side
    381,506,191.73x = 674,812,800,687,663,872
  5. Step 5: Solve for x
    x = 674,812,800,687,663,872/381,506,191.73
  6. Step 6: Final answer
    x = 1,768,812,185.25

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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.