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Finding the Third Proportional to 68,289 and 149,031

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Solution

The third proportional to 68,289 and 149,031 is: 325,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,289 : 149,031 = 149,031 : x
  2. Step 2: Convert to fraction form
    68,289/149,031 = 149,031/x
  3. Step 3: Cross multiply
    68,289x = 149,031 × 149,031
  4. Step 4: Simplify right side
    68,289x = 22,210,238,961
  5. Step 5: Solve for x
    x = 22,210,238,961/68,289
  6. Step 6: Final answer
    x = 325,238.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.