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Finding the Third Proportional to 9,790,508 and 21,208,168

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Solution

The third proportional to 9,790,508 and 21,208,168 is: 45,941,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,508 : 21,208,168 = 21,208,168 : x
  2. Step 2: Convert to fraction form
    9,790,508/21,208,168 = 21,208,168/x
  3. Step 3: Cross multiply
    9,790,508x = 21,208,168 × 21,208,168
  4. Step 4: Simplify right side
    9,790,508x = 449,786,389,916,224
  5. Step 5: Solve for x
    x = 449,786,389,916,224/9,790,508
  6. Step 6: Final answer
    x = 45,941,067.61

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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.