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Finding the Third Proportional to 851,810 and 1,821,809

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Solution

The third proportional to 851,810 and 1,821,809 is: 3,896,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,810 : 1,821,809 = 1,821,809 : x
  2. Step 2: Convert to fraction form
    851,810/1,821,809 = 1,821,809/x
  3. Step 3: Cross multiply
    851,810x = 1,821,809 × 1,821,809
  4. Step 4: Simplify right side
    851,810x = 3,318,988,032,481
  5. Step 5: Solve for x
    x = 3,318,988,032,481/851,810
  6. Step 6: Final answer
    x = 3,896,394.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.