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Finding the Third Proportional to 389,982.38 and 838,172.25

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Solution

The third proportional to 389,982.38 and 838,172.25 is: 1,801,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,982.38 : 838,172.25 = 838,172.25 : x
  2. Step 2: Convert to fraction form
    389,982.38/838,172.25 = 838,172.25/x
  3. Step 3: Cross multiply
    389,982.38x = 838,172.25 × 838,172.25
  4. Step 4: Simplify right side
    389,982.38x = 702,532,720,670.06
  5. Step 5: Solve for x
    x = 702,532,720,670.06/389,982.38
  6. Step 6: Final answer
    x = 1,801,447.36

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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.