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Finding the Third Proportional to 381,455 and 560,505

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Solution

The third proportional to 381,455 and 560,505 is: 823,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,455 : 560,505 = 560,505 : x
  2. Step 2: Convert to fraction form
    381,455/560,505 = 560,505/x
  3. Step 3: Cross multiply
    381,455x = 560,505 × 560,505
  4. Step 4: Simplify right side
    381,455x = 314,165,855,025
  5. Step 5: Solve for x
    x = 314,165,855,025/381,455
  6. Step 6: Final answer
    x = 823,598.73

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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.