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Finding the Third Proportional to 274,112.54 and 421,873.00

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Solution

The third proportional to 274,112.54 and 421,873.00 is: 649,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,112.54 : 421,873.00 = 421,873.00 : x
  2. Step 2: Convert to fraction form
    274,112.54/421,873.00 = 421,873.00/x
  3. Step 3: Cross multiply
    274,112.54x = 421,873.00 × 421,873.00
  4. Step 4: Simplify right side
    274,112.54x = 177,976,824,833.13
  5. Step 5: Solve for x
    x = 177,976,824,833.13/274,112.54
  6. Step 6: Final answer
    x = 649,283.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.