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Finding the Third Proportional to 648,169 and 981,208

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Solution

The third proportional to 648,169 and 981,208 is: 1,485,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,169 : 981,208 = 981,208 : x
  2. Step 2: Convert to fraction form
    648,169/981,208 = 981,208/x
  3. Step 3: Cross multiply
    648,169x = 981,208 × 981,208
  4. Step 4: Simplify right side
    648,169x = 962,769,139,264
  5. Step 5: Solve for x
    x = 962,769,139,264/648,169
  6. Step 6: Final answer
    x = 1,485,367.46

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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.