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Finding the Third Proportional to 69,102 and 145,167

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Solution

The third proportional to 69,102 and 145,167 is: 304,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102 : 145,167 = 145,167 : x
  2. Step 2: Convert to fraction form
    69,102/145,167 = 145,167/x
  3. Step 3: Cross multiply
    69,102x = 145,167 × 145,167
  4. Step 4: Simplify right side
    69,102x = 21,073,457,889
  5. Step 5: Solve for x
    x = 21,073,457,889/69,102
  6. Step 6: Final answer
    x = 304,961.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.