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Finding the Third Proportional to 255,091 and 398,144.75

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Solution

The third proportional to 255,091 and 398,144.75 is: 621,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,091 : 398,144.75 = 398,144.75 : x
  2. Step 2: Convert to fraction form
    255,091/398,144.75 = 398,144.75/x
  3. Step 3: Cross multiply
    255,091x = 398,144.75 × 398,144.75
  4. Step 4: Simplify right side
    255,091x = 158,519,241,952.56
  5. Step 5: Solve for x
    x = 158,519,241,952.56/255,091
  6. Step 6: Final answer
    x = 621,422.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.