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Finding the Third Proportional to 180,361.50 and 387,855

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Solution

The third proportional to 180,361.50 and 387,855 is: 834,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,361.50 : 387,855 = 387,855 : x
  2. Step 2: Convert to fraction form
    180,361.50/387,855 = 387,855/x
  3. Step 3: Cross multiply
    180,361.50x = 387,855 × 387,855
  4. Step 4: Simplify right side
    180,361.50x = 150,431,501,025
  5. Step 5: Solve for x
    x = 150,431,501,025/180,361.50
  6. Step 6: Final answer
    x = 834,055.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.