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Finding the Third Proportional to 274,102 and 421,853

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Solution

The third proportional to 274,102 and 421,853 is: 649,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,102 : 421,853 = 421,853 : x
  2. Step 2: Convert to fraction form
    274,102/421,853 = 421,853/x
  3. Step 3: Cross multiply
    274,102x = 421,853 × 421,853
  4. Step 4: Simplify right side
    274,102x = 177,959,953,609
  5. Step 5: Solve for x
    x = 177,959,953,609/274,102
  6. Step 6: Final answer
    x = 649,247.19

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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.