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Finding the Third Proportional to 379,192 and 829,808

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Solution

The third proportional to 379,192 and 829,808 is: 1,815,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,192 : 829,808 = 829,808 : x
  2. Step 2: Convert to fraction form
    379,192/829,808 = 829,808/x
  3. Step 3: Cross multiply
    379,192x = 829,808 × 829,808
  4. Step 4: Simplify right side
    379,192x = 688,581,316,864
  5. Step 5: Solve for x
    x = 688,581,316,864/379,192
  6. Step 6: Final answer
    x = 1,815,917.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.