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Finding the Third Proportional to 631,255.50 and 979,449.75

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Solution

The third proportional to 631,255.50 and 979,449.75 is: 1,519,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,255.50 : 979,449.75 = 979,449.75 : x
  2. Step 2: Convert to fraction form
    631,255.50/979,449.75 = 979,449.75/x
  3. Step 3: Cross multiply
    631,255.50x = 979,449.75 × 979,449.75
  4. Step 4: Simplify right side
    631,255.50x = 959,321,812,775.06
  5. Step 5: Solve for x
    x = 959,321,812,775.06/631,255.50
  6. Step 6: Final answer
    x = 1,519,704.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.