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Finding the Third Proportional to 382,809 and 838,887

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Solution

The third proportional to 382,809 and 838,887 is: 1,838,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,809 : 838,887 = 838,887 : x
  2. Step 2: Convert to fraction form
    382,809/838,887 = 838,887/x
  3. Step 3: Cross multiply
    382,809x = 838,887 × 838,887
  4. Step 4: Simplify right side
    382,809x = 703,731,398,769
  5. Step 5: Solve for x
    x = 703,731,398,769/382,809
  6. Step 6: Final answer
    x = 1,838,335.56

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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.