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Finding the Third Proportional to 419,118 and 857,604

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Solution

The third proportional to 419,118 and 857,604 is: 1,754,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,118 : 857,604 = 857,604 : x
  2. Step 2: Convert to fraction form
    419,118/857,604 = 857,604/x
  3. Step 3: Cross multiply
    419,118x = 857,604 × 857,604
  4. Step 4: Simplify right side
    419,118x = 735,484,620,816
  5. Step 5: Solve for x
    x = 735,484,620,816/419,118
  6. Step 6: Final answer
    x = 1,754,839.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.