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Finding the Third Proportional to 99,208 and 138,768

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Solution

The third proportional to 99,208 and 138,768 is: 194,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,208 : 138,768 = 138,768 : x
  2. Step 2: Convert to fraction form
    99,208/138,768 = 138,768/x
  3. Step 3: Cross multiply
    99,208x = 138,768 × 138,768
  4. Step 4: Simplify right side
    99,208x = 19,256,557,824
  5. Step 5: Solve for x
    x = 19,256,557,824/99,208
  6. Step 6: Final answer
    x = 194,102.87

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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.