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Finding the Third Proportional to 272,908 and 421,026

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Solution

The third proportional to 272,908 and 421,026 is: 649,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,908 : 421,026 = 421,026 : x
  2. Step 2: Convert to fraction form
    272,908/421,026 = 421,026/x
  3. Step 3: Cross multiply
    272,908x = 421,026 × 421,026
  4. Step 4: Simplify right side
    272,908x = 177,262,892,676
  5. Step 5: Solve for x
    x = 177,262,892,676/272,908
  6. Step 6: Final answer
    x = 649,533.52

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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.