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Finding the Third Proportional to 135,971 and 218,900

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Solution

The third proportional to 135,971 and 218,900 is: 352,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,971 : 218,900 = 218,900 : x
  2. Step 2: Convert to fraction form
    135,971/218,900 = 218,900/x
  3. Step 3: Cross multiply
    135,971x = 218,900 × 218,900
  4. Step 4: Simplify right side
    135,971x = 47,917,210,000
  5. Step 5: Solve for x
    x = 47,917,210,000/135,971
  6. Step 6: Final answer
    x = 352,407.57

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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.