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Finding the Third Proportional to 633,422 and 981,628

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Solution

The third proportional to 633,422 and 981,628 is: 1,521,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,422 : 981,628 = 981,628 : x
  2. Step 2: Convert to fraction form
    633,422/981,628 = 981,628/x
  3. Step 3: Cross multiply
    633,422x = 981,628 × 981,628
  4. Step 4: Simplify right side
    633,422x = 963,593,530,384
  5. Step 5: Solve for x
    x = 963,593,530,384/633,422
  6. Step 6: Final answer
    x = 1,521,250.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.