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Finding the Third Proportional to 272,908 and 421,024

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Solution

The third proportional to 272,908 and 421,024 is: 649,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,908 : 421,024 = 421,024 : x
  2. Step 2: Convert to fraction form
    272,908/421,024 = 421,024/x
  3. Step 3: Cross multiply
    272,908x = 421,024 × 421,024
  4. Step 4: Simplify right side
    272,908x = 177,261,208,576
  5. Step 5: Solve for x
    x = 177,261,208,576/272,908
  6. Step 6: Final answer
    x = 649,527.34

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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.