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Finding the Third Proportional to 381,641 and 561,319

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Solution

The third proportional to 381,641 and 561,319 is: 825,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,641 : 561,319 = 561,319 : x
  2. Step 2: Convert to fraction form
    381,641/561,319 = 561,319/x
  3. Step 3: Cross multiply
    381,641x = 561,319 × 561,319
  4. Step 4: Simplify right side
    381,641x = 315,079,019,761
  5. Step 5: Solve for x
    x = 315,079,019,761/381,641
  6. Step 6: Final answer
    x = 825,590.07

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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.