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Finding the Third Proportional to 69,318 and 107,289

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Solution

The third proportional to 69,318 and 107,289 is: 166,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,318 : 107,289 = 107,289 : x
  2. Step 2: Convert to fraction form
    69,318/107,289 = 107,289/x
  3. Step 3: Cross multiply
    69,318x = 107,289 × 107,289
  4. Step 4: Simplify right side
    69,318x = 11,510,929,521
  5. Step 5: Solve for x
    x = 11,510,929,521/69,318
  6. Step 6: Final answer
    x = 166,059.75

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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.