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Finding the Third Proportional to 71,753 and 149,407

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Solution

The third proportional to 71,753 and 149,407 is: 311,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753 : 149,407 = 149,407 : x
  2. Step 2: Convert to fraction form
    71,753/149,407 = 149,407/x
  3. Step 3: Cross multiply
    71,753x = 149,407 × 149,407
  4. Step 4: Simplify right side
    71,753x = 22,322,451,649
  5. Step 5: Solve for x
    x = 22,322,451,649/71,753
  6. Step 6: Final answer
    x = 311,101.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.