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Finding the Third Proportional to 98,016 and 138,031

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Solution

The third proportional to 98,016 and 138,031 is: 194,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 138,031 = 138,031 : x
  2. Step 2: Convert to fraction form
    98,016/138,031 = 138,031/x
  3. Step 3: Cross multiply
    98,016x = 138,031 × 138,031
  4. Step 4: Simplify right side
    98,016x = 19,052,556,961
  5. Step 5: Solve for x
    x = 19,052,556,961/98,016
  6. Step 6: Final answer
    x = 194,382.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.