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Finding the Third Proportional to 135,311 and 214,246

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Solution

The third proportional to 135,311 and 214,246 is: 339,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,311 : 214,246 = 214,246 : x
  2. Step 2: Convert to fraction form
    135,311/214,246 = 214,246/x
  3. Step 3: Cross multiply
    135,311x = 214,246 × 214,246
  4. Step 4: Simplify right side
    135,311x = 45,901,348,516
  5. Step 5: Solve for x
    x = 45,901,348,516/135,311
  6. Step 6: Final answer
    x = 339,228.51

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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.