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Finding the Third Proportional to 180,890 and 388,023

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Solution

The third proportional to 180,890 and 388,023 is: 832,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,890 : 388,023 = 388,023 : x
  2. Step 2: Convert to fraction form
    180,890/388,023 = 388,023/x
  3. Step 3: Cross multiply
    180,890x = 388,023 × 388,023
  4. Step 4: Simplify right side
    180,890x = 150,561,848,529
  5. Step 5: Solve for x
    x = 150,561,848,529/180,890
  6. Step 6: Final answer
    x = 832,339.26

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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.