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Finding the Third Proportional to 393,298 and 862,411

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Solution

The third proportional to 393,298 and 862,411 is: 1,891,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,298 : 862,411 = 862,411 : x
  2. Step 2: Convert to fraction form
    393,298/862,411 = 862,411/x
  3. Step 3: Cross multiply
    393,298x = 862,411 × 862,411
  4. Step 4: Simplify right side
    393,298x = 743,752,732,921
  5. Step 5: Solve for x
    x = 743,752,732,921/393,298
  6. Step 6: Final answer
    x = 1,891,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.