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Finding the Third Proportional to 381,437 and 560,485

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Solution

The third proportional to 381,437 and 560,485 is: 823,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,437 : 560,485 = 560,485 : x
  2. Step 2: Convert to fraction form
    381,437/560,485 = 560,485/x
  3. Step 3: Cross multiply
    381,437x = 560,485 × 560,485
  4. Step 4: Simplify right side
    381,437x = 314,143,435,225
  5. Step 5: Solve for x
    x = 314,143,435,225/381,437
  6. Step 6: Final answer
    x = 823,578.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.