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Finding the Third Proportional to 386,578 and 799,672

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Solution

The third proportional to 386,578 and 799,672 is: 1,654,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,578 : 799,672 = 799,672 : x
  2. Step 2: Convert to fraction form
    386,578/799,672 = 799,672/x
  3. Step 3: Cross multiply
    386,578x = 799,672 × 799,672
  4. Step 4: Simplify right side
    386,578x = 639,475,307,584
  5. Step 5: Solve for x
    x = 639,475,307,584/386,578
  6. Step 6: Final answer
    x = 1,654,194.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.