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Finding the Third Proportional to 85,630 and 113,621

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Solution

The third proportional to 85,630 and 113,621 is: 150,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,630 : 113,621 = 113,621 : x
  2. Step 2: Convert to fraction form
    85,630/113,621 = 113,621/x
  3. Step 3: Cross multiply
    85,630x = 113,621 × 113,621
  4. Step 4: Simplify right side
    85,630x = 12,909,731,641
  5. Step 5: Solve for x
    x = 12,909,731,641/85,630
  6. Step 6: Final answer
    x = 150,761.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.