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Finding the Third Proportional to 142,726 and 218,668

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Solution

The third proportional to 142,726 and 218,668 is: 335,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,726 : 218,668 = 218,668 : x
  2. Step 2: Convert to fraction form
    142,726/218,668 = 218,668/x
  3. Step 3: Cross multiply
    142,726x = 218,668 × 218,668
  4. Step 4: Simplify right side
    142,726x = 47,815,694,224
  5. Step 5: Solve for x
    x = 47,815,694,224/142,726
  6. Step 6: Final answer
    x = 335,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.