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Finding the Third Proportional to 299,954 and 421,864.50

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Solution

The third proportional to 299,954 and 421,864.50 is: 593,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,954 : 421,864.50 = 421,864.50 : x
  2. Step 2: Convert to fraction form
    299,954/421,864.50 = 421,864.50/x
  3. Step 3: Cross multiply
    299,954x = 421,864.50 × 421,864.50
  4. Step 4: Simplify right side
    299,954x = 177,969,656,360.25
  5. Step 5: Solve for x
    x = 177,969,656,360.25/299,954
  6. Step 6: Final answer
    x = 593,323.16

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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.