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Finding the Third Proportional to 223,556 and 338,221

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Solution

The third proportional to 223,556 and 338,221 is: 511,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,556 : 338,221 = 338,221 : x
  2. Step 2: Convert to fraction form
    223,556/338,221 = 338,221/x
  3. Step 3: Cross multiply
    223,556x = 338,221 × 338,221
  4. Step 4: Simplify right side
    223,556x = 114,393,444,841
  5. Step 5: Solve for x
    x = 114,393,444,841/223,556
  6. Step 6: Final answer
    x = 511,699.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.