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Finding the Third Proportional to 135,767 and 210,011

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Solution

The third proportional to 135,767 and 210,011 is: 324,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,767 : 210,011 = 210,011 : x
  2. Step 2: Convert to fraction form
    135,767/210,011 = 210,011/x
  3. Step 3: Cross multiply
    135,767x = 210,011 × 210,011
  4. Step 4: Simplify right side
    135,767x = 44,104,620,121
  5. Step 5: Solve for x
    x = 44,104,620,121/135,767
  6. Step 6: Final answer
    x = 324,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.