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Finding the Third Proportional to 775,560 and 1,640,540

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Solution

The third proportional to 775,560 and 1,640,540 is: 3,470,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,560 : 1,640,540 = 1,640,540 : x
  2. Step 2: Convert to fraction form
    775,560/1,640,540 = 1,640,540/x
  3. Step 3: Cross multiply
    775,560x = 1,640,540 × 1,640,540
  4. Step 4: Simplify right side
    775,560x = 2,691,371,491,600
  5. Step 5: Solve for x
    x = 2,691,371,491,600/775,560
  6. Step 6: Final answer
    x = 3,470,229.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.