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Finding the Third Proportional to 253,398 and 401,211

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Solution

The third proportional to 253,398 and 401,211 is: 635,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,398 : 401,211 = 401,211 : x
  2. Step 2: Convert to fraction form
    253,398/401,211 = 401,211/x
  3. Step 3: Cross multiply
    253,398x = 401,211 × 401,211
  4. Step 4: Simplify right side
    253,398x = 160,970,266,521
  5. Step 5: Solve for x
    x = 160,970,266,521/253,398
  6. Step 6: Final answer
    x = 635,246.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.