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Finding the Third Proportional to 393,019 and 842,114

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Solution

The third proportional to 393,019 and 842,114 is: 1,804,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,019 : 842,114 = 842,114 : x
  2. Step 2: Convert to fraction form
    393,019/842,114 = 842,114/x
  3. Step 3: Cross multiply
    393,019x = 842,114 × 842,114
  4. Step 4: Simplify right side
    393,019x = 709,155,988,996
  5. Step 5: Solve for x
    x = 709,155,988,996/393,019
  6. Step 6: Final answer
    x = 1,804,380.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.