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Finding the Third Proportional to 8,972,370 and 19,738,269

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Solution

The third proportional to 8,972,370 and 19,738,269 is: 43,422,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,370 : 19,738,269 = 19,738,269 : x
  2. Step 2: Convert to fraction form
    8,972,370/19,738,269 = 19,738,269/x
  3. Step 3: Cross multiply
    8,972,370x = 19,738,269 × 19,738,269
  4. Step 4: Simplify right side
    8,972,370x = 389,599,263,116,361
  5. Step 5: Solve for x
    x = 389,599,263,116,361/8,972,370
  6. Step 6: Final answer
    x = 43,422,112.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.