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Finding the Third Proportional to 100,477.13 and 138,410.44

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Solution

The third proportional to 100,477.13 and 138,410.44 is: 190,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,477.13 : 138,410.44 = 138,410.44 : x
  2. Step 2: Convert to fraction form
    100,477.13/138,410.44 = 138,410.44/x
  3. Step 3: Cross multiply
    100,477.13x = 138,410.44 × 138,410.44
  4. Step 4: Simplify right side
    100,477.13x = 19,157,449,208.94
  5. Step 5: Solve for x
    x = 19,157,449,208.94/100,477.13
  6. Step 6: Final answer
    x = 190,664.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.