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Finding the Third Proportional to 386,362 and 814,676

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Solution

The third proportional to 386,362 and 814,676 is: 1,717,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,362 : 814,676 = 814,676 : x
  2. Step 2: Convert to fraction form
    386,362/814,676 = 814,676/x
  3. Step 3: Cross multiply
    386,362x = 814,676 × 814,676
  4. Step 4: Simplify right side
    386,362x = 663,696,984,976
  5. Step 5: Solve for x
    x = 663,696,984,976/386,362
  6. Step 6: Final answer
    x = 1,717,811.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.