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Finding the Third Proportional to 299,299 and 665,109

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Solution

The third proportional to 299,299 and 665,109 is: 1,478,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,299 : 665,109 = 665,109 : x
  2. Step 2: Convert to fraction form
    299,299/665,109 = 665,109/x
  3. Step 3: Cross multiply
    299,299x = 665,109 × 665,109
  4. Step 4: Simplify right side
    299,299x = 442,369,981,881
  5. Step 5: Solve for x
    x = 442,369,981,881/299,299
  6. Step 6: Final answer
    x = 1,478,020.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.