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Finding the Third Proportional to 381,450 and 560,346

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Solution

The third proportional to 381,450 and 560,346 is: 823,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,450 : 560,346 = 560,346 : x
  2. Step 2: Convert to fraction form
    381,450/560,346 = 560,346/x
  3. Step 3: Cross multiply
    381,450x = 560,346 × 560,346
  4. Step 4: Simplify right side
    381,450x = 313,987,639,716
  5. Step 5: Solve for x
    x = 313,987,639,716/381,450
  6. Step 6: Final answer
    x = 823,142.32

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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.