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Finding the Third Proportional to 190,989 and 290,634.75

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Solution

The third proportional to 190,989 and 290,634.75 is: 442,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,989 : 290,634.75 = 290,634.75 : x
  2. Step 2: Convert to fraction form
    190,989/290,634.75 = 290,634.75/x
  3. Step 3: Cross multiply
    190,989x = 290,634.75 × 290,634.75
  4. Step 4: Simplify right side
    190,989x = 84,468,557,907.56
  5. Step 5: Solve for x
    x = 84,468,557,907.56/190,989
  6. Step 6: Final answer
    x = 442,269.23

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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.