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Finding the Third Proportional to 389,022 and 844,438

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Solution

The third proportional to 389,022 and 844,438 is: 1,832,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,022 : 844,438 = 844,438 : x
  2. Step 2: Convert to fraction form
    389,022/844,438 = 844,438/x
  3. Step 3: Cross multiply
    389,022x = 844,438 × 844,438
  4. Step 4: Simplify right side
    389,022x = 713,075,535,844
  5. Step 5: Solve for x
    x = 713,075,535,844/389,022
  6. Step 6: Final answer
    x = 1,832,995.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.