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Finding the Third Proportional to 190,433 and 418,228

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Solution

The third proportional to 190,433 and 418,228 is: 918,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,433 : 418,228 = 418,228 : x
  2. Step 2: Convert to fraction form
    190,433/418,228 = 418,228/x
  3. Step 3: Cross multiply
    190,433x = 418,228 × 418,228
  4. Step 4: Simplify right side
    190,433x = 174,914,659,984
  5. Step 5: Solve for x
    x = 174,914,659,984/190,433
  6. Step 6: Final answer
    x = 918,510.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.