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Finding the Third Proportional to 70,586 and 105,867

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Solution

The third proportional to 70,586 and 105,867 is: 158,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586 : 105,867 = 105,867 : x
  2. Step 2: Convert to fraction form
    70,586/105,867 = 105,867/x
  3. Step 3: Cross multiply
    70,586x = 105,867 × 105,867
  4. Step 4: Simplify right side
    70,586x = 11,207,821,689
  5. Step 5: Solve for x
    x = 11,207,821,689/70,586
  6. Step 6: Final answer
    x = 158,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.