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Finding the Third Proportional to 383,215 and 806,128

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Solution

The third proportional to 383,215 and 806,128 is: 1,695,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,215 : 806,128 = 806,128 : x
  2. Step 2: Convert to fraction form
    383,215/806,128 = 806,128/x
  3. Step 3: Cross multiply
    383,215x = 806,128 × 806,128
  4. Step 4: Simplify right side
    383,215x = 649,842,352,384
  5. Step 5: Solve for x
    x = 649,842,352,384/383,215
  6. Step 6: Final answer
    x = 1,695,764.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.