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Finding the Third Proportional to 59,919 and 131,115

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Solution

The third proportional to 59,919 and 131,115 is: 286,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,919 : 131,115 = 131,115 : x
  2. Step 2: Convert to fraction form
    59,919/131,115 = 131,115/x
  3. Step 3: Cross multiply
    59,919x = 131,115 × 131,115
  4. Step 4: Simplify right side
    59,919x = 17,191,143,225
  5. Step 5: Solve for x
    x = 17,191,143,225/59,919
  6. Step 6: Final answer
    x = 286,906.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.