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Finding the Third Proportional to 1,538,190 and 3,366,009

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Solution

The third proportional to 1,538,190 and 3,366,009 is: 7,365,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,190 : 3,366,009 = 3,366,009 : x
  2. Step 2: Convert to fraction form
    1,538,190/3,366,009 = 3,366,009/x
  3. Step 3: Cross multiply
    1,538,190x = 3,366,009 × 3,366,009
  4. Step 4: Simplify right side
    1,538,190x = 11,330,016,588,081
  5. Step 5: Solve for x
    x = 11,330,016,588,081/1,538,190
  6. Step 6: Final answer
    x = 7,365,810.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.