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Finding the Third Proportional to 272,697 and 636,906

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Solution

The third proportional to 272,697 and 636,906 is: 1,487,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,697 : 636,906 = 636,906 : x
  2. Step 2: Convert to fraction form
    272,697/636,906 = 636,906/x
  3. Step 3: Cross multiply
    272,697x = 636,906 × 636,906
  4. Step 4: Simplify right side
    272,697x = 405,649,252,836
  5. Step 5: Solve for x
    x = 405,649,252,836/272,697
  6. Step 6: Final answer
    x = 1,487,545.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.