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Finding the Third Proportional to 854,578 and 1,340,531

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Solution

The third proportional to 854,578 and 1,340,531 is: 2,102,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,578 : 1,340,531 = 1,340,531 : x
  2. Step 2: Convert to fraction form
    854,578/1,340,531 = 1,340,531/x
  3. Step 3: Cross multiply
    854,578x = 1,340,531 × 1,340,531
  4. Step 4: Simplify right side
    854,578x = 1,797,023,361,961
  5. Step 5: Solve for x
    x = 1,797,023,361,961/854,578
  6. Step 6: Final answer
    x = 2,102,819.59

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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.