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Finding the Third Proportional to 840,834 and 1,305,534

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Solution

The third proportional to 840,834 and 1,305,534 is: 2,027,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,834 : 1,305,534 = 1,305,534 : x
  2. Step 2: Convert to fraction form
    840,834/1,305,534 = 1,305,534/x
  3. Step 3: Cross multiply
    840,834x = 1,305,534 × 1,305,534
  4. Step 4: Simplify right side
    840,834x = 1,704,419,025,156
  5. Step 5: Solve for x
    x = 1,704,419,025,156/840,834
  6. Step 6: Final answer
    x = 2,027,057.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.