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Finding the Third Proportional to 272,992 and 421,152

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Solution

The third proportional to 272,992 and 421,152 is: 649,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,992 : 421,152 = 421,152 : x
  2. Step 2: Convert to fraction form
    272,992/421,152 = 421,152/x
  3. Step 3: Cross multiply
    272,992x = 421,152 × 421,152
  4. Step 4: Simplify right side
    272,992x = 177,369,007,104
  5. Step 5: Solve for x
    x = 177,369,007,104/272,992
  6. Step 6: Final answer
    x = 649,722.36

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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.