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Finding the Third Proportional to 646,600 and 1,396,448

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Solution

The third proportional to 646,600 and 1,396,448 is: 3,015,878.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,600 : 1,396,448 = 1,396,448 : x
  2. Step 2: Convert to fraction form
    646,600/1,396,448 = 1,396,448/x
  3. Step 3: Cross multiply
    646,600x = 1,396,448 × 1,396,448
  4. Step 4: Simplify right side
    646,600x = 1,950,067,016,704
  5. Step 5: Solve for x
    x = 1,950,067,016,704/646,600
  6. Step 6: Final answer
    x = 3,015,878.47

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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.