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Finding the Third Proportional to 386,198 and 807,708

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Solution

The third proportional to 386,198 and 807,708 is: 1,689,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,198 : 807,708 = 807,708 : x
  2. Step 2: Convert to fraction form
    386,198/807,708 = 807,708/x
  3. Step 3: Cross multiply
    386,198x = 807,708 × 807,708
  4. Step 4: Simplify right side
    386,198x = 652,392,213,264
  5. Step 5: Solve for x
    x = 652,392,213,264/386,198
  6. Step 6: Final answer
    x = 1,689,268.75

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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.