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Finding the Third Proportional to 135,309 and 214,243

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Solution

The third proportional to 135,309 and 214,243 is: 339,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309 : 214,243 = 214,243 : x
  2. Step 2: Convert to fraction form
    135,309/214,243 = 214,243/x
  3. Step 3: Cross multiply
    135,309x = 214,243 × 214,243
  4. Step 4: Simplify right side
    135,309x = 45,900,063,049
  5. Step 5: Solve for x
    x = 45,900,063,049/135,309
  6. Step 6: Final answer
    x = 339,224.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.