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Finding the Third Proportional to 551,727 and 843,628

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Solution

The third proportional to 551,727 and 843,628 is: 1,289,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,727 : 843,628 = 843,628 : x
  2. Step 2: Convert to fraction form
    551,727/843,628 = 843,628/x
  3. Step 3: Cross multiply
    551,727x = 843,628 × 843,628
  4. Step 4: Simplify right side
    551,727x = 711,708,202,384
  5. Step 5: Solve for x
    x = 711,708,202,384/551,727
  6. Step 6: Final answer
    x = 1,289,964.43

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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.