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Finding the Third Proportional to 821,961 and 1,289,739

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Solution

The third proportional to 821,961 and 1,289,739 is: 2,023,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,961 : 1,289,739 = 1,289,739 : x
  2. Step 2: Convert to fraction form
    821,961/1,289,739 = 1,289,739/x
  3. Step 3: Cross multiply
    821,961x = 1,289,739 × 1,289,739
  4. Step 4: Simplify right side
    821,961x = 1,663,426,688,121
  5. Step 5: Solve for x
    x = 1,663,426,688,121/821,961
  6. Step 6: Final answer
    x = 2,023,729.46

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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.