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Finding the Third Proportional to 3,789,915.75 and 8,218,320.75

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Solution

The third proportional to 3,789,915.75 and 8,218,320.75 is: 17,821,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,915.75 : 8,218,320.75 = 8,218,320.75 : x
  2. Step 2: Convert to fraction form
    3,789,915.75/8,218,320.75 = 8,218,320.75/x
  3. Step 3: Cross multiply
    3,789,915.75x = 8,218,320.75 × 8,218,320.75
  4. Step 4: Simplify right side
    3,789,915.75x = 67,540,795,949,880.56
  5. Step 5: Solve for x
    x = 67,540,795,949,880.56/3,789,915.75
  6. Step 6: Final answer
    x = 17,821,186.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.