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Finding the Third Proportional to 68,454,375.75 and 161,431,678.69

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Solution

The third proportional to 68,454,375.75 and 161,431,678.69 is: 380,694,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,454,375.75 : 161,431,678.69 = 161,431,678.69 : x
  2. Step 2: Convert to fraction form
    68,454,375.75/161,431,678.69 = 161,431,678.69/x
  3. Step 3: Cross multiply
    68,454,375.75x = 161,431,678.69 × 161,431,678.69
  4. Step 4: Simplify right side
    68,454,375.75x = 26,060,186,883,864,240
  5. Step 5: Solve for x
    x = 26,060,186,883,864,240/68,454,375.75
  6. Step 6: Final answer
    x = 380,694,244.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.