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Finding the Third Proportional to 140,909 and 302,311

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Solution

The third proportional to 140,909 and 302,311 is: 648,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,909 : 302,311 = 302,311 : x
  2. Step 2: Convert to fraction form
    140,909/302,311 = 302,311/x
  3. Step 3: Cross multiply
    140,909x = 302,311 × 302,311
  4. Step 4: Simplify right side
    140,909x = 91,391,940,721
  5. Step 5: Solve for x
    x = 91,391,940,721/140,909
  6. Step 6: Final answer
    x = 648,588.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.