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Finding the Third Proportional to 137,230 and 219,149

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Solution

The third proportional to 137,230 and 219,149 is: 349,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230 : 219,149 = 219,149 : x
  2. Step 2: Convert to fraction form
    137,230/219,149 = 219,149/x
  3. Step 3: Cross multiply
    137,230x = 219,149 × 219,149
  4. Step 4: Simplify right side
    137,230x = 48,026,284,201
  5. Step 5: Solve for x
    x = 48,026,284,201/137,230
  6. Step 6: Final answer
    x = 349,969.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.