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Finding the Third Proportional to 255,103 and 398,159

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Solution

The third proportional to 255,103 and 398,159 is: 621,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,103 : 398,159 = 398,159 : x
  2. Step 2: Convert to fraction form
    255,103/398,159 = 398,159/x
  3. Step 3: Cross multiply
    255,103x = 398,159 × 398,159
  4. Step 4: Simplify right side
    255,103x = 158,530,589,281
  5. Step 5: Solve for x
    x = 158,530,589,281/255,103
  6. Step 6: Final answer
    x = 621,437.57

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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.