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Finding the Third Proportional to 9,978,822.75 and 21,448,358.25

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Solution

The third proportional to 9,978,822.75 and 21,448,358.25 is: 46,100,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978,822.75 : 21,448,358.25 = 21,448,358.25 : x
  2. Step 2: Convert to fraction form
    9,978,822.75/21,448,358.25 = 21,448,358.25/x
  3. Step 3: Cross multiply
    9,978,822.75x = 21,448,358.25 × 21,448,358.25
  4. Step 4: Simplify right side
    9,978,822.75x = 460,032,071,620,343.06
  5. Step 5: Solve for x
    x = 460,032,071,620,343.06/9,978,822.75
  6. Step 6: Final answer
    x = 46,100,836.06

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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.