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Finding the Third Proportional to 252,289 and 401,193

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Solution

The third proportional to 252,289 and 401,193 is: 637,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,289 : 401,193 = 401,193 : x
  2. Step 2: Convert to fraction form
    252,289/401,193 = 401,193/x
  3. Step 3: Cross multiply
    252,289x = 401,193 × 401,193
  4. Step 4: Simplify right side
    252,289x = 160,955,823,249
  5. Step 5: Solve for x
    x = 160,955,823,249/252,289
  6. Step 6: Final answer
    x = 637,981.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.