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Finding the Third Proportional to 197,646 and 291,249

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Solution

The third proportional to 197,646 and 291,249 is: 429,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,646 : 291,249 = 291,249 : x
  2. Step 2: Convert to fraction form
    197,646/291,249 = 291,249/x
  3. Step 3: Cross multiply
    197,646x = 291,249 × 291,249
  4. Step 4: Simplify right side
    197,646x = 84,825,980,001
  5. Step 5: Solve for x
    x = 84,825,980,001/197,646
  6. Step 6: Final answer
    x = 429,181.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.