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Finding the Third Proportional to 91,412 and 203,830

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Solution

The third proportional to 91,412 and 203,830 is: 454,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,412 : 203,830 = 203,830 : x
  2. Step 2: Convert to fraction form
    91,412/203,830 = 203,830/x
  3. Step 3: Cross multiply
    91,412x = 203,830 × 203,830
  4. Step 4: Simplify right side
    91,412x = 41,546,668,900
  5. Step 5: Solve for x
    x = 41,546,668,900/91,412
  6. Step 6: Final answer
    x = 454,499.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.