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Finding the Third Proportional to 70,633 and 149,690

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Solution

The third proportional to 70,633 and 149,690 is: 317,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,633 : 149,690 = 149,690 : x
  2. Step 2: Convert to fraction form
    70,633/149,690 = 149,690/x
  3. Step 3: Cross multiply
    70,633x = 149,690 × 149,690
  4. Step 4: Simplify right side
    70,633x = 22,407,096,100
  5. Step 5: Solve for x
    x = 22,407,096,100/70,633
  6. Step 6: Final answer
    x = 317,232.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.