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Finding the Third Proportional to 137,967 and 211,507

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Solution

The third proportional to 137,967 and 211,507 is: 324,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967 : 211,507 = 211,507 : x
  2. Step 2: Convert to fraction form
    137,967/211,507 = 211,507/x
  3. Step 3: Cross multiply
    137,967x = 211,507 × 211,507
  4. Step 4: Simplify right side
    137,967x = 44,735,211,049
  5. Step 5: Solve for x
    x = 44,735,211,049/137,967
  6. Step 6: Final answer
    x = 324,245.73

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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.