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Finding the Third Proportional to 389,815.13 and 839,786.25

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Solution

The third proportional to 389,815.13 and 839,786.25 is: 1,809,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,815.13 : 839,786.25 = 839,786.25 : x
  2. Step 2: Convert to fraction form
    389,815.13/839,786.25 = 839,786.25/x
  3. Step 3: Cross multiply
    389,815.13x = 839,786.25 × 839,786.25
  4. Step 4: Simplify right side
    389,815.13x = 705,240,945,689.06
  5. Step 5: Solve for x
    x = 705,240,945,689.06/389,815.13
  6. Step 6: Final answer
    x = 1,809,167.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.