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Finding the Third Proportional to 387,219 and 833,769

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Solution

The third proportional to 387,219 and 833,769 is: 1,795,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,219 : 833,769 = 833,769 : x
  2. Step 2: Convert to fraction form
    387,219/833,769 = 833,769/x
  3. Step 3: Cross multiply
    387,219x = 833,769 × 833,769
  4. Step 4: Simplify right side
    387,219x = 695,170,745,361
  5. Step 5: Solve for x
    x = 695,170,745,361/387,219
  6. Step 6: Final answer
    x = 1,795,290.90

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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.