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Finding the Third Proportional to 141,211 and 310,408

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Solution

The third proportional to 141,211 and 310,408 is: 682,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,211 : 310,408 = 310,408 : x
  2. Step 2: Convert to fraction form
    141,211/310,408 = 310,408/x
  3. Step 3: Cross multiply
    141,211x = 310,408 × 310,408
  4. Step 4: Simplify right side
    141,211x = 96,353,126,464
  5. Step 5: Solve for x
    x = 96,353,126,464/141,211
  6. Step 6: Final answer
    x = 682,334.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.