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Finding the Third Proportional to 551,743 and 843,653

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Solution

The third proportional to 551,743 and 843,653 is: 1,290,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,743 : 843,653 = 843,653 : x
  2. Step 2: Convert to fraction form
    551,743/843,653 = 843,653/x
  3. Step 3: Cross multiply
    551,743x = 843,653 × 843,653
  4. Step 4: Simplify right side
    551,743x = 711,750,384,409
  5. Step 5: Solve for x
    x = 711,750,384,409/551,743
  6. Step 6: Final answer
    x = 1,290,003.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.