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Finding the Third Proportional to 181,240 and 421,377

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Solution

The third proportional to 181,240 and 421,377 is: 979,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,240 : 421,377 = 421,377 : x
  2. Step 2: Convert to fraction form
    181,240/421,377 = 421,377/x
  3. Step 3: Cross multiply
    181,240x = 421,377 × 421,377
  4. Step 4: Simplify right side
    181,240x = 177,558,576,129
  5. Step 5: Solve for x
    x = 177,558,576,129/181,240
  6. Step 6: Final answer
    x = 979,687.58

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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.