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Finding the Third Proportional to 9,728,120 and 21,117,704

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Solution

The third proportional to 9,728,120 and 21,117,704 is: 45,842,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728,120 : 21,117,704 = 21,117,704 : x
  2. Step 2: Convert to fraction form
    9,728,120/21,117,704 = 21,117,704/x
  3. Step 3: Cross multiply
    9,728,120x = 21,117,704 × 21,117,704
  4. Step 4: Simplify right side
    9,728,120x = 445,957,422,231,616
  5. Step 5: Solve for x
    x = 445,957,422,231,616/9,728,120
  6. Step 6: Final answer
    x = 45,842,097.16

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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.