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Finding the Third Proportional to 18,538,869 and 27,144,642

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Solution

The third proportional to 18,538,869 and 27,144,642 is: 39,745,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538,869 : 27,144,642 = 27,144,642 : x
  2. Step 2: Convert to fraction form
    18,538,869/27,144,642 = 27,144,642/x
  3. Step 3: Cross multiply
    18,538,869x = 27,144,642 × 27,144,642
  4. Step 4: Simplify right side
    18,538,869x = 736,831,589,308,164
  5. Step 5: Solve for x
    x = 736,831,589,308,164/18,538,869
  6. Step 6: Final answer
    x = 39,745,228.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.