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Finding the Third Proportional to 181,612.13 and 421,225.31

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Solution

The third proportional to 181,612.13 and 421,225.31 is: 976,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,612.13 : 421,225.31 = 421,225.31 : x
  2. Step 2: Convert to fraction form
    181,612.13/421,225.31 = 421,225.31/x
  3. Step 3: Cross multiply
    181,612.13x = 421,225.31 × 421,225.31
  4. Step 4: Simplify right side
    181,612.13x = 177,430,763,890.72
  5. Step 5: Solve for x
    x = 177,430,763,890.72/181,612.13
  6. Step 6: Final answer
    x = 976,976.42

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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.