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Finding the Third Proportional to 444,720.75 and 975,144.56

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Solution

The third proportional to 444,720.75 and 975,144.56 is: 2,138,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,720.75 : 975,144.56 = 975,144.56 : x
  2. Step 2: Convert to fraction form
    444,720.75/975,144.56 = 975,144.56/x
  3. Step 3: Cross multiply
    444,720.75x = 975,144.56 × 975,144.56
  4. Step 4: Simplify right side
    444,720.75x = 950,906,917,773.32
  5. Step 5: Solve for x
    x = 950,906,917,773.32/444,720.75
  6. Step 6: Final answer
    x = 2,138,211.27

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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.