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Finding the Third Proportional to 181,364 and 421,610

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Solution

The third proportional to 181,364 and 421,610 is: 980,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,364 : 421,610 = 421,610 : x
  2. Step 2: Convert to fraction form
    181,364/421,610 = 421,610/x
  3. Step 3: Cross multiply
    181,364x = 421,610 × 421,610
  4. Step 4: Simplify right side
    181,364x = 177,754,992,100
  5. Step 5: Solve for x
    x = 177,754,992,100/181,364
  6. Step 6: Final answer
    x = 980,100.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.