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Finding the Third Proportional to 9,969,849 and 21,321,396

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Solution

The third proportional to 9,969,849 and 21,321,396 is: 45,597,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,849 : 21,321,396 = 21,321,396 : x
  2. Step 2: Convert to fraction form
    9,969,849/21,321,396 = 21,321,396/x
  3. Step 3: Cross multiply
    9,969,849x = 21,321,396 × 21,321,396
  4. Step 4: Simplify right side
    9,969,849x = 454,601,927,388,816
  5. Step 5: Solve for x
    x = 454,601,927,388,816/9,969,849
  6. Step 6: Final answer
    x = 45,597,674.29

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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.