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Finding the Third Proportional to 379,152 and 819,108

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Solution

The third proportional to 379,152 and 819,108 is: 1,769,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,152 : 819,108 = 819,108 : x
  2. Step 2: Convert to fraction form
    379,152/819,108 = 819,108/x
  3. Step 3: Cross multiply
    379,152x = 819,108 × 819,108
  4. Step 4: Simplify right side
    379,152x = 670,937,915,664
  5. Step 5: Solve for x
    x = 670,937,915,664/379,152
  6. Step 6: Final answer
    x = 1,769,575.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.