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Finding the Third Proportional to 4,409,190 and 9,448,232

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Solution

The third proportional to 4,409,190 and 9,448,232 is: 20,246,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409,190 : 9,448,232 = 9,448,232 : x
  2. Step 2: Convert to fraction form
    4,409,190/9,448,232 = 9,448,232/x
  3. Step 3: Cross multiply
    4,409,190x = 9,448,232 × 9,448,232
  4. Step 4: Simplify right side
    4,409,190x = 89,269,087,925,824
  5. Step 5: Solve for x
    x = 89,269,087,925,824/4,409,190
  6. Step 6: Final answer
    x = 20,246,142.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.