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Finding the Third Proportional to 135,769 and 210,014

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Solution

The third proportional to 135,769 and 210,014 is: 324,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,769 : 210,014 = 210,014 : x
  2. Step 2: Convert to fraction form
    135,769/210,014 = 210,014/x
  3. Step 3: Cross multiply
    135,769x = 210,014 × 210,014
  4. Step 4: Simplify right side
    135,769x = 44,105,880,196
  5. Step 5: Solve for x
    x = 44,105,880,196/135,769
  6. Step 6: Final answer
    x = 324,859.73

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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.