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Finding the Third Proportional to 2,133,754 and 3,119,619

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Solution

The third proportional to 2,133,754 and 3,119,619 is: 4,560,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,754 : 3,119,619 = 3,119,619 : x
  2. Step 2: Convert to fraction form
    2,133,754/3,119,619 = 3,119,619/x
  3. Step 3: Cross multiply
    2,133,754x = 3,119,619 × 3,119,619
  4. Step 4: Simplify right side
    2,133,754x = 9,732,022,705,161
  5. Step 5: Solve for x
    x = 9,732,022,705,161/2,133,754
  6. Step 6: Final answer
    x = 4,560,986.27

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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.