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Finding the Third Proportional to 190,790 and 414,357

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Solution

The third proportional to 190,790 and 414,357 is: 899,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,790 : 414,357 = 414,357 : x
  2. Step 2: Convert to fraction form
    190,790/414,357 = 414,357/x
  3. Step 3: Cross multiply
    190,790x = 414,357 × 414,357
  4. Step 4: Simplify right side
    190,790x = 171,691,723,449
  5. Step 5: Solve for x
    x = 171,691,723,449/190,790
  6. Step 6: Final answer
    x = 899,898.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.