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Finding the Third Proportional to 379,717.88 and 811,923.75

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Solution

The third proportional to 379,717.88 and 811,923.75 is: 1,736,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,717.88 : 811,923.75 = 811,923.75 : x
  2. Step 2: Convert to fraction form
    379,717.88/811,923.75 = 811,923.75/x
  3. Step 3: Cross multiply
    379,717.88x = 811,923.75 × 811,923.75
  4. Step 4: Simplify right side
    379,717.88x = 659,220,175,814.06
  5. Step 5: Solve for x
    x = 659,220,175,814.06/379,717.88
  6. Step 6: Final answer
    x = 1,736,078.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.