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Finding the Third Proportional to 140,509 and 214,283

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Solution

The third proportional to 140,509 and 214,283 is: 326,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,509 : 214,283 = 214,283 : x
  2. Step 2: Convert to fraction form
    140,509/214,283 = 214,283/x
  3. Step 3: Cross multiply
    140,509x = 214,283 × 214,283
  4. Step 4: Simplify right side
    140,509x = 45,917,204,089
  5. Step 5: Solve for x
    x = 45,917,204,089/140,509
  6. Step 6: Final answer
    x = 326,791.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.