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Finding the Third Proportional to 197,922 and 415,284

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Solution

The third proportional to 197,922 and 415,284 is: 871,357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,922 : 415,284 = 415,284 : x
  2. Step 2: Convert to fraction form
    197,922/415,284 = 415,284/x
  3. Step 3: Cross multiply
    197,922x = 415,284 × 415,284
  4. Step 4: Simplify right side
    197,922x = 172,460,800,656
  5. Step 5: Solve for x
    x = 172,460,800,656/197,922
  6. Step 6: Final answer
    x = 871,357.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.