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Finding the Third Proportional to 180,715 and 388,916

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Solution

The third proportional to 180,715 and 388,916 is: 836,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,715 : 388,916 = 388,916 : x
  2. Step 2: Convert to fraction form
    180,715/388,916 = 388,916/x
  3. Step 3: Cross multiply
    180,715x = 388,916 × 388,916
  4. Step 4: Simplify right side
    180,715x = 151,255,655,056
  5. Step 5: Solve for x
    x = 151,255,655,056/180,715
  6. Step 6: Final answer
    x = 836,984.51

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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.