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Finding the Third Proportional to 415,910 and 669,801

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Solution

The third proportional to 415,910 and 669,801 is: 1,078,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,910 : 669,801 = 669,801 : x
  2. Step 2: Convert to fraction form
    415,910/669,801 = 669,801/x
  3. Step 3: Cross multiply
    415,910x = 669,801 × 669,801
  4. Step 4: Simplify right side
    415,910x = 448,633,379,601
  5. Step 5: Solve for x
    x = 448,633,379,601/415,910
  6. Step 6: Final answer
    x = 1,078,678.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.