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Finding the Third Proportional to 126,889,694,606 and 191,969,187,980

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Solution

The third proportional to 126,889,694,606 and 191,969,187,980 is: 290,426,809,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,889,694,606 : 191,969,187,980 = 191,969,187,980 : x
  2. Step 2: Convert to fraction form
    126,889,694,606/191,969,187,980 = 191,969,187,980/x
  3. Step 3: Cross multiply
    126,889,694,606x = 191,969,187,980 × 191,969,187,980
  4. Step 4: Simplify right side
    126,889,694,606x = 36,852,169,133,700,576,968,704
  5. Step 5: Solve for x
    x = 36,852,169,133,700,576,968,704/126,889,694,606
  6. Step 6: Final answer
    x = 290,426,809,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.