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Finding the Third Proportional to 187,882 and 290,975

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Solution

The third proportional to 187,882 and 290,975 is: 450,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,882 : 290,975 = 290,975 : x
  2. Step 2: Convert to fraction form
    187,882/290,975 = 290,975/x
  3. Step 3: Cross multiply
    187,882x = 290,975 × 290,975
  4. Step 4: Simplify right side
    187,882x = 84,666,450,625
  5. Step 5: Solve for x
    x = 84,666,450,625/187,882
  6. Step 6: Final answer
    x = 450,636.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.