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Finding the Third Proportional to 869,886 and 1,330,661.25

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Solution

The third proportional to 869,886 and 1,330,661.25 is: 2,035,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,886 : 1,330,661.25 = 1,330,661.25 : x
  2. Step 2: Convert to fraction form
    869,886/1,330,661.25 = 1,330,661.25/x
  3. Step 3: Cross multiply
    869,886x = 1,330,661.25 × 1,330,661.25
  4. Step 4: Simplify right side
    869,886x = 1,770,659,362,251.56
  5. Step 5: Solve for x
    x = 1,770,659,362,251.56/869,886
  6. Step 6: Final answer
    x = 2,035,507.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.