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Finding the Third Proportional to 121,038 and 255,919

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Solution

The third proportional to 121,038 and 255,919 is: 541,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,038 : 255,919 = 255,919 : x
  2. Step 2: Convert to fraction form
    121,038/255,919 = 255,919/x
  3. Step 3: Cross multiply
    121,038x = 255,919 × 255,919
  4. Step 4: Simplify right side
    121,038x = 65,494,534,561
  5. Step 5: Solve for x
    x = 65,494,534,561/121,038
  6. Step 6: Final answer
    x = 541,107.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.