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Finding the Third Proportional to 648,224 and 981,279

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Solution

The third proportional to 648,224 and 981,279 is: 1,485,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,224 : 981,279 = 981,279 : x
  2. Step 2: Convert to fraction form
    648,224/981,279 = 981,279/x
  3. Step 3: Cross multiply
    648,224x = 981,279 × 981,279
  4. Step 4: Simplify right side
    648,224x = 962,908,475,841
  5. Step 5: Solve for x
    x = 962,908,475,841/648,224
  6. Step 6: Final answer
    x = 1,485,456.38

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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.