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Finding the Third Proportional to 538,269.75 and 867,270.38

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Solution

The third proportional to 538,269.75 and 867,270.38 is: 1,397,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,269.75 : 867,270.38 = 867,270.38 : x
  2. Step 2: Convert to fraction form
    538,269.75/867,270.38 = 867,270.38/x
  3. Step 3: Cross multiply
    538,269.75x = 867,270.38 × 867,270.38
  4. Step 4: Simplify right side
    538,269.75x = 752,157,903,352.64
  5. Step 5: Solve for x
    x = 752,157,903,352.64/538,269.75
  6. Step 6: Final answer
    x = 1,397,362.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.