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Finding the Third Proportional to 69,038 and 109,119

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Solution

The third proportional to 69,038 and 109,119 is: 172,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038 : 109,119 = 109,119 : x
  2. Step 2: Convert to fraction form
    69,038/109,119 = 109,119/x
  3. Step 3: Cross multiply
    69,038x = 109,119 × 109,119
  4. Step 4: Simplify right side
    69,038x = 11,906,956,161
  5. Step 5: Solve for x
    x = 11,906,956,161/69,038
  6. Step 6: Final answer
    x = 172,469.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.