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Finding the Third Proportional to 137,212 and 205,242

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Solution

The third proportional to 137,212 and 205,242 is: 307,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,212 : 205,242 = 205,242 : x
  2. Step 2: Convert to fraction form
    137,212/205,242 = 205,242/x
  3. Step 3: Cross multiply
    137,212x = 205,242 × 205,242
  4. Step 4: Simplify right side
    137,212x = 42,124,278,564
  5. Step 5: Solve for x
    x = 42,124,278,564/137,212
  6. Step 6: Final answer
    x = 307,001.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.