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Finding the Third Proportional to 821,859 and 1,119,609

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Solution

The third proportional to 821,859 and 1,119,609 is: 1,525,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,859 : 1,119,609 = 1,119,609 : x
  2. Step 2: Convert to fraction form
    821,859/1,119,609 = 1,119,609/x
  3. Step 3: Cross multiply
    821,859x = 1,119,609 × 1,119,609
  4. Step 4: Simplify right side
    821,859x = 1,253,524,312,881
  5. Step 5: Solve for x
    x = 1,253,524,312,881/821,859
  6. Step 6: Final answer
    x = 1,525,230.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.