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Finding the Third Proportional to 84,200,112 and 181,393,902

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Solution

The third proportional to 84,200,112 and 181,393,902 is: 390,780,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200,112 : 181,393,902 = 181,393,902 : x
  2. Step 2: Convert to fraction form
    84,200,112/181,393,902 = 181,393,902/x
  3. Step 3: Cross multiply
    84,200,112x = 181,393,902 × 181,393,902
  4. Step 4: Simplify right side
    84,200,112x = 32,903,747,682,785,604
  5. Step 5: Solve for x
    x = 32,903,747,682,785,604/84,200,112
  6. Step 6: Final answer
    x = 390,780,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.