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Finding the Third Proportional to 821,965 and 1,289,745

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Solution

The third proportional to 821,965 and 1,289,745 is: 2,023,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,965 : 1,289,745 = 1,289,745 : x
  2. Step 2: Convert to fraction form
    821,965/1,289,745 = 1,289,745/x
  3. Step 3: Cross multiply
    821,965x = 1,289,745 × 1,289,745
  4. Step 4: Simplify right side
    821,965x = 1,663,442,165,025
  5. Step 5: Solve for x
    x = 1,663,442,165,025/821,965
  6. Step 6: Final answer
    x = 2,023,738.44

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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.