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Finding the Third Proportional to 1,189,899.56 and 1,812,748.78

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Solution

The third proportional to 1,189,899.56 and 1,812,748.78 is: 2,761,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,899.56 : 1,812,748.78 = 1,812,748.78 : x
  2. Step 2: Convert to fraction form
    1,189,899.56/1,812,748.78 = 1,812,748.78/x
  3. Step 3: Cross multiply
    1,189,899.56x = 1,812,748.78 × 1,812,748.78
  4. Step 4: Simplify right side
    1,189,899.56x = 3,286,058,143,923.36
  5. Step 5: Solve for x
    x = 3,286,058,143,923.36/1,189,899.56
  6. Step 6: Final answer
    x = 2,761,626.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.