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Finding the Third Proportional to 392,744 and 845,611

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Solution

The third proportional to 392,744 and 845,611 is: 1,820,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,744 : 845,611 = 845,611 : x
  2. Step 2: Convert to fraction form
    392,744/845,611 = 845,611/x
  3. Step 3: Cross multiply
    392,744x = 845,611 × 845,611
  4. Step 4: Simplify right side
    392,744x = 715,057,963,321
  5. Step 5: Solve for x
    x = 715,057,963,321/392,744
  6. Step 6: Final answer
    x = 1,820,671.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.