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Finding the Third Proportional to 9,978,816 and 21,448,344.75

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Solution

The third proportional to 9,978,816 and 21,448,344.75 is: 46,100,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978,816 : 21,448,344.75 = 21,448,344.75 : x
  2. Step 2: Convert to fraction form
    9,978,816/21,448,344.75 = 21,448,344.75/x
  3. Step 3: Cross multiply
    9,978,816x = 21,448,344.75 × 21,448,344.75
  4. Step 4: Simplify right side
    9,978,816x = 460,031,492,514,852.56
  5. Step 5: Solve for x
    x = 460,031,492,514,852.56/9,978,816
  6. Step 6: Final answer
    x = 46,100,809.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.