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Finding the Third Proportional to 137,664 and 209,115

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Solution

The third proportional to 137,664 and 209,115 is: 317,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,664 : 209,115 = 209,115 : x
  2. Step 2: Convert to fraction form
    137,664/209,115 = 209,115/x
  3. Step 3: Cross multiply
    137,664x = 209,115 × 209,115
  4. Step 4: Simplify right side
    137,664x = 43,729,083,225
  5. Step 5: Solve for x
    x = 43,729,083,225/137,664
  6. Step 6: Final answer
    x = 317,650.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.