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Finding the Third Proportional to 389,116.13 and 838,263.38

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Solution

The third proportional to 389,116.13 and 838,263.38 is: 1,805,850.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,116.13 : 838,263.38 = 838,263.38 : x
  2. Step 2: Convert to fraction form
    389,116.13/838,263.38 = 838,263.38/x
  3. Step 3: Cross multiply
    389,116.13x = 838,263.38 × 838,263.38
  4. Step 4: Simplify right side
    389,116.13x = 702,685,485,866.39
  5. Step 5: Solve for x
    x = 702,685,485,866.39/389,116.13
  6. Step 6: Final answer
    x = 1,805,850.34

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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.