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Finding the Third Proportional to 190,999 and 290,648

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Solution

The third proportional to 190,999 and 290,648 is: 442,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,999 : 290,648 = 290,648 : x
  2. Step 2: Convert to fraction form
    190,999/290,648 = 290,648/x
  3. Step 3: Cross multiply
    190,999x = 290,648 × 290,648
  4. Step 4: Simplify right side
    190,999x = 84,476,259,904
  5. Step 5: Solve for x
    x = 84,476,259,904/190,999
  6. Step 6: Final answer
    x = 442,286.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.