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Finding the Third Proportional to 144,721 and 223,645

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Solution

The third proportional to 144,721 and 223,645 is: 345,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,721 : 223,645 = 223,645 : x
  2. Step 2: Convert to fraction form
    144,721/223,645 = 223,645/x
  3. Step 3: Cross multiply
    144,721x = 223,645 × 223,645
  4. Step 4: Simplify right side
    144,721x = 50,017,086,025
  5. Step 5: Solve for x
    x = 50,017,086,025/144,721
  6. Step 6: Final answer
    x = 345,610.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.