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Finding the Third Proportional to 129,638.50 and 281,408

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Solution

The third proportional to 129,638.50 and 281,408 is: 610,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,638.50 : 281,408 = 281,408 : x
  2. Step 2: Convert to fraction form
    129,638.50/281,408 = 281,408/x
  3. Step 3: Cross multiply
    129,638.50x = 281,408 × 281,408
  4. Step 4: Simplify right side
    129,638.50x = 79,190,462,464
  5. Step 5: Solve for x
    x = 79,190,462,464/129,638.50
  6. Step 6: Final answer
    x = 610,856.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.