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Finding the Third Proportional to 729,019 and 981,399

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Solution

The third proportional to 729,019 and 981,399 is: 1,321,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,019 : 981,399 = 981,399 : x
  2. Step 2: Convert to fraction form
    729,019/981,399 = 981,399/x
  3. Step 3: Cross multiply
    729,019x = 981,399 × 981,399
  4. Step 4: Simplify right side
    729,019x = 963,143,997,201
  5. Step 5: Solve for x
    x = 963,143,997,201/729,019
  6. Step 6: Final answer
    x = 1,321,150.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.