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Finding the Third Proportional to 389,837.25 and 843,644.25

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Solution

The third proportional to 389,837.25 and 843,644.25 is: 1,825,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,837.25 : 843,644.25 = 843,644.25 : x
  2. Step 2: Convert to fraction form
    389,837.25/843,644.25 = 843,644.25/x
  3. Step 3: Cross multiply
    389,837.25x = 843,644.25 × 843,644.25
  4. Step 4: Simplify right side
    389,837.25x = 711,735,620,558.06
  5. Step 5: Solve for x
    x = 711,735,620,558.06/389,837.25
  6. Step 6: Final answer
    x = 1,825,725.02

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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.