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Finding the Third Proportional to 648,227 and 981,284

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Solution

The third proportional to 648,227 and 981,284 is: 1,485,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,227 : 981,284 = 981,284 : x
  2. Step 2: Convert to fraction form
    648,227/981,284 = 981,284/x
  3. Step 3: Cross multiply
    648,227x = 981,284 × 981,284
  4. Step 4: Simplify right side
    648,227x = 962,918,288,656
  5. Step 5: Solve for x
    x = 962,918,288,656/648,227
  6. Step 6: Final answer
    x = 1,485,464.64

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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.