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Finding the Third Proportional to 381,993,626 and 818,443,376.50

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Solution

The third proportional to 381,993,626 and 818,443,376.50 is: 1,753,562,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,993,626 : 818,443,376.50 = 818,443,376.50 : x
  2. Step 2: Convert to fraction form
    381,993,626/818,443,376.50 = 818,443,376.50/x
  3. Step 3: Cross multiply
    381,993,626x = 818,443,376.50 × 818,443,376.50
  4. Step 4: Simplify right side
    381,993,626x = 669,849,560,536,720,768
  5. Step 5: Solve for x
    x = 669,849,560,536,720,768/381,993,626
  6. Step 6: Final answer
    x = 1,753,562,140.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.