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Finding the Third Proportional to 223,588 and 338,272

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Solution

The third proportional to 223,588 and 338,272 is: 511,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,588 : 338,272 = 338,272 : x
  2. Step 2: Convert to fraction form
    223,588/338,272 = 338,272/x
  3. Step 3: Cross multiply
    223,588x = 338,272 × 338,272
  4. Step 4: Simplify right side
    223,588x = 114,427,945,984
  5. Step 5: Solve for x
    x = 114,427,945,984/223,588
  6. Step 6: Final answer
    x = 511,780.35

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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.