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Finding the Third Proportional to 819,508 and 1,231,638

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Solution

The third proportional to 819,508 and 1,231,638 is: 1,851,027.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,508 : 1,231,638 = 1,231,638 : x
  2. Step 2: Convert to fraction form
    819,508/1,231,638 = 1,231,638/x
  3. Step 3: Cross multiply
    819,508x = 1,231,638 × 1,231,638
  4. Step 4: Simplify right side
    819,508x = 1,516,932,163,044
  5. Step 5: Solve for x
    x = 1,516,932,163,044/819,508
  6. Step 6: Final answer
    x = 1,851,027.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.