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Finding the Third Proportional to 379,443 and 808,045

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Solution

The third proportional to 379,443 and 808,045 is: 1,720,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,443 : 808,045 = 808,045 : x
  2. Step 2: Convert to fraction form
    379,443/808,045 = 808,045/x
  3. Step 3: Cross multiply
    379,443x = 808,045 × 808,045
  4. Step 4: Simplify right side
    379,443x = 652,936,722,025
  5. Step 5: Solve for x
    x = 652,936,722,025/379,443
  6. Step 6: Final answer
    x = 1,720,776.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.