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Finding the Third Proportional to 243,770 and 389,268

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Solution

The third proportional to 243,770 and 389,268 is: 621,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,770 : 389,268 = 389,268 : x
  2. Step 2: Convert to fraction form
    243,770/389,268 = 389,268/x
  3. Step 3: Cross multiply
    243,770x = 389,268 × 389,268
  4. Step 4: Simplify right side
    243,770x = 151,529,575,824
  5. Step 5: Solve for x
    x = 151,529,575,824/243,770
  6. Step 6: Final answer
    x = 621,608.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.