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Finding the Third Proportional to 398,268 and 875,268

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Solution

The third proportional to 398,268 and 875,268 is: 1,923,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,268 : 875,268 = 875,268 : x
  2. Step 2: Convert to fraction form
    398,268/875,268 = 875,268/x
  3. Step 3: Cross multiply
    398,268x = 875,268 × 875,268
  4. Step 4: Simplify right side
    398,268x = 766,094,071,824
  5. Step 5: Solve for x
    x = 766,094,071,824/398,268
  6. Step 6: Final answer
    x = 1,923,564.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.