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Finding the Third Proportional to 133,619 and 214,910

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Solution

The third proportional to 133,619 and 214,910 is: 345,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,619 : 214,910 = 214,910 : x
  2. Step 2: Convert to fraction form
    133,619/214,910 = 214,910/x
  3. Step 3: Cross multiply
    133,619x = 214,910 × 214,910
  4. Step 4: Simplify right side
    133,619x = 46,186,308,100
  5. Step 5: Solve for x
    x = 46,186,308,100/133,619
  6. Step 6: Final answer
    x = 345,656.74

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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.