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Finding the Third Proportional to 380,981 and 814,448

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Solution

The third proportional to 380,981 and 814,448 is: 1,741,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,981 : 814,448 = 814,448 : x
  2. Step 2: Convert to fraction form
    380,981/814,448 = 814,448/x
  3. Step 3: Cross multiply
    380,981x = 814,448 × 814,448
  4. Step 4: Simplify right side
    380,981x = 663,325,544,704
  5. Step 5: Solve for x
    x = 663,325,544,704/380,981
  6. Step 6: Final answer
    x = 1,741,098.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.