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Finding the Third Proportional to 81,199,168 and 110,598,240

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Solution

The third proportional to 81,199,168 and 110,598,240 is: 150,641,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,199,168 : 110,598,240 = 110,598,240 : x
  2. Step 2: Convert to fraction form
    81,199,168/110,598,240 = 110,598,240/x
  3. Step 3: Cross multiply
    81,199,168x = 110,598,240 × 110,598,240
  4. Step 4: Simplify right side
    81,199,168x = 12,231,970,691,097,600
  5. Step 5: Solve for x
    x = 12,231,970,691,097,600/81,199,168
  6. Step 6: Final answer
    x = 150,641,576.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.