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Finding the Third Proportional to 389,963.25 and 843,894

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Solution

The third proportional to 389,963.25 and 843,894 is: 1,826,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,963.25 : 843,894 = 843,894 : x
  2. Step 2: Convert to fraction form
    389,963.25/843,894 = 843,894/x
  3. Step 3: Cross multiply
    389,963.25x = 843,894 × 843,894
  4. Step 4: Simplify right side
    389,963.25x = 712,157,083,236
  5. Step 5: Solve for x
    x = 712,157,083,236/389,963.25
  6. Step 6: Final answer
    x = 1,826,215.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.