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Finding the Third Proportional to 250,191 and 387,981

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Solution

The third proportional to 250,191 and 387,981 is: 601,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,191 : 387,981 = 387,981 : x
  2. Step 2: Convert to fraction form
    250,191/387,981 = 387,981/x
  3. Step 3: Cross multiply
    250,191x = 387,981 × 387,981
  4. Step 4: Simplify right side
    250,191x = 150,529,256,361
  5. Step 5: Solve for x
    x = 150,529,256,361/250,191
  6. Step 6: Final answer
    x = 601,657.36

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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.