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Finding the Third Proportional to 299,953.13 and 421,923.38

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Solution

The third proportional to 299,953.13 and 421,923.38 is: 593,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,953.13 : 421,923.38 = 421,923.38 : x
  2. Step 2: Convert to fraction form
    299,953.13/421,923.38 = 421,923.38/x
  3. Step 3: Cross multiply
    299,953.13x = 421,923.38 × 421,923.38
  4. Step 4: Simplify right side
    299,953.13x = 178,019,334,371.39
  5. Step 5: Solve for x
    x = 178,019,334,371.39/299,953.13
  6. Step 6: Final answer
    x = 593,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.