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Finding the Third Proportional to 691,141 and 1,081,857

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Solution

The third proportional to 691,141 and 1,081,857 is: 1,693,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,141 : 1,081,857 = 1,081,857 : x
  2. Step 2: Convert to fraction form
    691,141/1,081,857 = 1,081,857/x
  3. Step 3: Cross multiply
    691,141x = 1,081,857 × 1,081,857
  4. Step 4: Simplify right side
    691,141x = 1,170,414,568,449
  5. Step 5: Solve for x
    x = 1,170,414,568,449/691,141
  6. Step 6: Final answer
    x = 1,693,452.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.