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Finding the Third Proportional to 303,119.25 and 421,463.25

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Solution

The third proportional to 303,119.25 and 421,463.25 is: 586,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,119.25 : 421,463.25 = 421,463.25 : x
  2. Step 2: Convert to fraction form
    303,119.25/421,463.25 = 421,463.25/x
  3. Step 3: Cross multiply
    303,119.25x = 421,463.25 × 421,463.25
  4. Step 4: Simplify right side
    303,119.25x = 177,631,271,100.56
  5. Step 5: Solve for x
    x = 177,631,271,100.56/303,119.25
  6. Step 6: Final answer
    x = 586,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.