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Finding the Third Proportional to 283,727.50 and 421,571

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Solution

The third proportional to 283,727.50 and 421,571 is: 626,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,727.50 : 421,571 = 421,571 : x
  2. Step 2: Convert to fraction form
    283,727.50/421,571 = 421,571/x
  3. Step 3: Cross multiply
    283,727.50x = 421,571 × 421,571
  4. Step 4: Simplify right side
    283,727.50x = 177,722,108,041
  5. Step 5: Solve for x
    x = 177,722,108,041/283,727.50
  6. Step 6: Final answer
    x = 626,383.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.