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Finding the Third Proportional to 180,720 and 395,904

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Solution

The third proportional to 180,720 and 395,904 is: 867,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,720 : 395,904 = 395,904 : x
  2. Step 2: Convert to fraction form
    180,720/395,904 = 395,904/x
  3. Step 3: Cross multiply
    180,720x = 395,904 × 395,904
  4. Step 4: Simplify right side
    180,720x = 156,739,977,216
  5. Step 5: Solve for x
    x = 156,739,977,216/180,720
  6. Step 6: Final answer
    x = 867,308.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.