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Finding the Third Proportional to 299,966 and 421,881.50

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Solution

The third proportional to 299,966 and 421,881.50 is: 593,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,966 : 421,881.50 = 421,881.50 : x
  2. Step 2: Convert to fraction form
    299,966/421,881.50 = 421,881.50/x
  3. Step 3: Cross multiply
    299,966x = 421,881.50 × 421,881.50
  4. Step 4: Simplify right side
    299,966x = 177,984,000,042.25
  5. Step 5: Solve for x
    x = 177,984,000,042.25/299,966
  6. Step 6: Final answer
    x = 593,347.25

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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.