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Finding the Third Proportional to 381,340 and 560,994

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Solution

The third proportional to 381,340 and 560,994 is: 825,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,340 : 560,994 = 560,994 : x
  2. Step 2: Convert to fraction form
    381,340/560,994 = 560,994/x
  3. Step 3: Cross multiply
    381,340x = 560,994 × 560,994
  4. Step 4: Simplify right side
    381,340x = 314,714,268,036
  5. Step 5: Solve for x
    x = 314,714,268,036/381,340
  6. Step 6: Final answer
    x = 825,285.23

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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.