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Finding the Third Proportional to 3,879,747.28 and 9,145,643.34

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Solution

The third proportional to 3,879,747.28 and 9,145,643.34 is: 21,558,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,747.28 : 9,145,643.34 = 9,145,643.34 : x
  2. Step 2: Convert to fraction form
    3,879,747.28/9,145,643.34 = 9,145,643.34/x
  3. Step 3: Cross multiply
    3,879,747.28x = 9,145,643.34 × 9,145,643.34
  4. Step 4: Simplify right side
    3,879,747.28x = 83,642,792,171,078.69
  5. Step 5: Solve for x
    x = 83,642,792,171,078.69/3,879,747.28
  6. Step 6: Final answer
    x = 21,558,824.87

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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.