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Finding the Third Proportional to 381,864 and 561,104

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Solution

The third proportional to 381,864 and 561,104 is: 824,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,864 : 561,104 = 561,104 : x
  2. Step 2: Convert to fraction form
    381,864/561,104 = 561,104/x
  3. Step 3: Cross multiply
    381,864x = 561,104 × 561,104
  4. Step 4: Simplify right side
    381,864x = 314,837,698,816
  5. Step 5: Solve for x
    x = 314,837,698,816/381,864
  6. Step 6: Final answer
    x = 824,475.99

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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.