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Finding the Third Proportional to 565,869 and 1,219,920

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Solution

The third proportional to 565,869 and 1,219,920 is: 2,629,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,869 : 1,219,920 = 1,219,920 : x
  2. Step 2: Convert to fraction form
    565,869/1,219,920 = 1,219,920/x
  3. Step 3: Cross multiply
    565,869x = 1,219,920 × 1,219,920
  4. Step 4: Simplify right side
    565,869x = 1,488,204,806,400
  5. Step 5: Solve for x
    x = 1,488,204,806,400/565,869
  6. Step 6: Final answer
    x = 2,629,945.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.