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Finding the Third Proportional to 120,149 and 255,828

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Solution

The third proportional to 120,149 and 255,828 is: 544,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149 : 255,828 = 255,828 : x
  2. Step 2: Convert to fraction form
    120,149/255,828 = 255,828/x
  3. Step 3: Cross multiply
    120,149x = 255,828 × 255,828
  4. Step 4: Simplify right side
    120,149x = 65,447,965,584
  5. Step 5: Solve for x
    x = 65,447,965,584/120,149
  6. Step 6: Final answer
    x = 544,723.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.