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Finding the Third Proportional to 190,485 and 418,338

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Solution

The third proportional to 190,485 and 418,338 is: 918,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,485 : 418,338 = 418,338 : x
  2. Step 2: Convert to fraction form
    190,485/418,338 = 418,338/x
  3. Step 3: Cross multiply
    190,485x = 418,338 × 418,338
  4. Step 4: Simplify right side
    190,485x = 175,006,682,244
  5. Step 5: Solve for x
    x = 175,006,682,244/190,485
  6. Step 6: Final answer
    x = 918,742.59

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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.