Home / 100,145,076.75-213,517,945.13

Finding the Third Proportional to 100,145,076.75 and 213,517,945.13

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Solution

The third proportional to 100,145,076.75 and 213,517,945.13 is: 455,238,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,076.75 : 213,517,945.13 = 213,517,945.13 : x
  2. Step 2: Convert to fraction form
    100,145,076.75/213,517,945.13 = 213,517,945.13/x
  3. Step 3: Cross multiply
    100,145,076.75x = 213,517,945.13 × 213,517,945.13
  4. Step 4: Simplify right side
    100,145,076.75x = 45,589,912,890,402,512
  5. Step 5: Solve for x
    x = 45,589,912,890,402,512/100,145,076.75
  6. Step 6: Final answer
    x = 455,238,683.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.