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Finding the Third Proportional to 784,839 and 1,640,742

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Solution

The third proportional to 784,839 and 1,640,742 is: 3,430,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,839 : 1,640,742 = 1,640,742 : x
  2. Step 2: Convert to fraction form
    784,839/1,640,742 = 1,640,742/x
  3. Step 3: Cross multiply
    784,839x = 1,640,742 × 1,640,742
  4. Step 4: Simplify right side
    784,839x = 2,692,034,310,564
  5. Step 5: Solve for x
    x = 2,692,034,310,564/784,839
  6. Step 6: Final answer
    x = 3,430,046.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.