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Finding the Third Proportional to 648,212 and 981,263

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Solution

The third proportional to 648,212 and 981,263 is: 1,485,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,212 : 981,263 = 981,263 : x
  2. Step 2: Convert to fraction form
    648,212/981,263 = 981,263/x
  3. Step 3: Cross multiply
    648,212x = 981,263 × 981,263
  4. Step 4: Simplify right side
    648,212x = 962,877,075,169
  5. Step 5: Solve for x
    x = 962,877,075,169/648,212
  6. Step 6: Final answer
    x = 1,485,435.44

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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.