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Finding the Third Proportional to 98,406 and 138,083

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Solution

The third proportional to 98,406 and 138,083 is: 193,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,406 : 138,083 = 138,083 : x
  2. Step 2: Convert to fraction form
    98,406/138,083 = 138,083/x
  3. Step 3: Cross multiply
    98,406x = 138,083 × 138,083
  4. Step 4: Simplify right side
    98,406x = 19,066,914,889
  5. Step 5: Solve for x
    x = 19,066,914,889/98,406
  6. Step 6: Final answer
    x = 193,757.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.