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Finding the Third Proportional to 187,708 and 281,806

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Solution

The third proportional to 187,708 and 281,806 is: 423,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,708 : 281,806 = 281,806 : x
  2. Step 2: Convert to fraction form
    187,708/281,806 = 281,806/x
  3. Step 3: Cross multiply
    187,708x = 281,806 × 281,806
  4. Step 4: Simplify right side
    187,708x = 79,414,621,636
  5. Step 5: Solve for x
    x = 79,414,621,636/187,708
  6. Step 6: Final answer
    x = 423,075.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.