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Finding the Third Proportional to 381,595,872 and 823,622,928

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Solution

The third proportional to 381,595,872 and 823,622,928 is: 1,777,678,369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,595,872 : 823,622,928 = 823,622,928 : x
  2. Step 2: Convert to fraction form
    381,595,872/823,622,928 = 823,622,928/x
  3. Step 3: Cross multiply
    381,595,872x = 823,622,928 × 823,622,928
  4. Step 4: Simplify right side
    381,595,872x = 678,354,727,527,293,184
  5. Step 5: Solve for x
    x = 678,354,727,527,293,184/381,595,872
  6. Step 6: Final answer
    x = 1,777,678,369.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.