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Finding the Third Proportional to 138,642,066 and 193,820,187

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Solution

The third proportional to 138,642,066 and 193,820,187 is: 270,958,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642,066 : 193,820,187 = 193,820,187 : x
  2. Step 2: Convert to fraction form
    138,642,066/193,820,187 = 193,820,187/x
  3. Step 3: Cross multiply
    138,642,066x = 193,820,187 × 193,820,187
  4. Step 4: Simplify right side
    138,642,066x = 37,566,264,888,714,968
  5. Step 5: Solve for x
    x = 37,566,264,888,714,968/138,642,066
  6. Step 6: Final answer
    x = 270,958,634.51

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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.