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Finding the Third Proportional to 22,384,680 and 48,194,112

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Solution

The third proportional to 22,384,680 and 48,194,112 is: 103,761,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384,680 : 48,194,112 = 48,194,112 : x
  2. Step 2: Convert to fraction form
    22,384,680/48,194,112 = 48,194,112/x
  3. Step 3: Cross multiply
    22,384,680x = 48,194,112 × 48,194,112
  4. Step 4: Simplify right side
    22,384,680x = 2,322,672,431,468,544
  5. Step 5: Solve for x
    x = 2,322,672,431,468,544/22,384,680
  6. Step 6: Final answer
    x = 103,761,699.14

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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.