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Finding the Third Proportional to 181,250 and 421,405

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Solution

The third proportional to 181,250 and 421,405 is: 979,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,250 : 421,405 = 421,405 : x
  2. Step 2: Convert to fraction form
    181,250/421,405 = 421,405/x
  3. Step 3: Cross multiply
    181,250x = 421,405 × 421,405
  4. Step 4: Simplify right side
    181,250x = 177,582,174,025
  5. Step 5: Solve for x
    x = 177,582,174,025/181,250
  6. Step 6: Final answer
    x = 979,763.72

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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.