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Finding the Third Proportional to 288,132.75 and 416,268

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Solution

The third proportional to 288,132.75 and 416,268 is: 601,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,132.75 : 416,268 = 416,268 : x
  2. Step 2: Convert to fraction form
    288,132.75/416,268 = 416,268/x
  3. Step 3: Cross multiply
    288,132.75x = 416,268 × 416,268
  4. Step 4: Simplify right side
    288,132.75x = 173,279,047,824
  5. Step 5: Solve for x
    x = 173,279,047,824/288,132.75
  6. Step 6: Final answer
    x = 601,386.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.