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Finding the Third Proportional to 272,828 and 420,906

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Solution

The third proportional to 272,828 and 420,906 is: 649,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,828 : 420,906 = 420,906 : x
  2. Step 2: Convert to fraction form
    272,828/420,906 = 420,906/x
  3. Step 3: Cross multiply
    272,828x = 420,906 × 420,906
  4. Step 4: Simplify right side
    272,828x = 177,161,860,836
  5. Step 5: Solve for x
    x = 177,161,860,836/272,828
  6. Step 6: Final answer
    x = 649,353.66

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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.