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Finding the Third Proportional to 190,540 and 418,448

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Solution

The third proportional to 190,540 and 418,448 is: 918,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,540 : 418,448 = 418,448 : x
  2. Step 2: Convert to fraction form
    190,540/418,448 = 418,448/x
  3. Step 3: Cross multiply
    190,540x = 418,448 × 418,448
  4. Step 4: Simplify right side
    190,540x = 175,098,728,704
  5. Step 5: Solve for x
    x = 175,098,728,704/190,540
  6. Step 6: Final answer
    x = 918,960.47

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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.