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Finding the Third Proportional to 446,438 and 981,328

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Solution

The third proportional to 446,438 and 981,328 is: 2,157,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,438 : 981,328 = 981,328 : x
  2. Step 2: Convert to fraction form
    446,438/981,328 = 981,328/x
  3. Step 3: Cross multiply
    446,438x = 981,328 × 981,328
  4. Step 4: Simplify right side
    446,438x = 963,004,643,584
  5. Step 5: Solve for x
    x = 963,004,643,584/446,438
  6. Step 6: Final answer
    x = 2,157,084.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.