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Finding the Third Proportional to 175,785.75 and 378,270

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Solution

The third proportional to 175,785.75 and 378,270 is: 813,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,785.75 : 378,270 = 378,270 : x
  2. Step 2: Convert to fraction form
    175,785.75/378,270 = 378,270/x
  3. Step 3: Cross multiply
    175,785.75x = 378,270 × 378,270
  4. Step 4: Simplify right side
    175,785.75x = 143,088,192,900
  5. Step 5: Solve for x
    x = 143,088,192,900/175,785.75
  6. Step 6: Final answer
    x = 813,991.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.