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Finding the Third Proportional to 135,963 and 218,888

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Solution

The third proportional to 135,963 and 218,888 is: 352,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963 : 218,888 = 218,888 : x
  2. Step 2: Convert to fraction form
    135,963/218,888 = 218,888/x
  3. Step 3: Cross multiply
    135,963x = 218,888 × 218,888
  4. Step 4: Simplify right side
    135,963x = 47,911,956,544
  5. Step 5: Solve for x
    x = 47,911,956,544/135,963
  6. Step 6: Final answer
    x = 352,389.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.