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Finding the Third Proportional to 648,230 and 981,286

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Solution

The third proportional to 648,230 and 981,286 is: 1,485,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,230 : 981,286 = 981,286 : x
  2. Step 2: Convert to fraction form
    648,230/981,286 = 981,286/x
  3. Step 3: Cross multiply
    648,230x = 981,286 × 981,286
  4. Step 4: Simplify right side
    648,230x = 962,922,213,796
  5. Step 5: Solve for x
    x = 962,922,213,796/648,230
  6. Step 6: Final answer
    x = 1,485,463.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.