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Finding the Third Proportional to 285,720.75 and 615,062.25

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Solution

The third proportional to 285,720.75 and 615,062.25 is: 1,324,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,720.75 : 615,062.25 = 615,062.25 : x
  2. Step 2: Convert to fraction form
    285,720.75/615,062.25 = 615,062.25/x
  3. Step 3: Cross multiply
    285,720.75x = 615,062.25 × 615,062.25
  4. Step 4: Simplify right side
    285,720.75x = 378,301,571,375.06
  5. Step 5: Solve for x
    x = 378,301,571,375.06/285,720.75
  6. Step 6: Final answer
    x = 1,324,025.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.