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Finding the Third Proportional to 68,085 and 149,089

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Solution

The third proportional to 68,085 and 149,089 is: 326,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,085 : 149,089 = 149,089 : x
  2. Step 2: Convert to fraction form
    68,085/149,089 = 149,089/x
  3. Step 3: Cross multiply
    68,085x = 149,089 × 149,089
  4. Step 4: Simplify right side
    68,085x = 22,227,529,921
  5. Step 5: Solve for x
    x = 22,227,529,921/68,085
  6. Step 6: Final answer
    x = 326,467.36

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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.