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Finding the Third Proportional to 137,903 and 214,388

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Solution

The third proportional to 137,903 and 214,388 is: 333,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,903 : 214,388 = 214,388 : x
  2. Step 2: Convert to fraction form
    137,903/214,388 = 214,388/x
  3. Step 3: Cross multiply
    137,903x = 214,388 × 214,388
  4. Step 4: Simplify right side
    137,903x = 45,962,214,544
  5. Step 5: Solve for x
    x = 45,962,214,544/137,903
  6. Step 6: Final answer
    x = 333,293.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.