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Finding the Third Proportional to 180,442.69 and 396,765.84

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Solution

The third proportional to 180,442.69 and 396,765.84 is: 872,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,442.69 : 396,765.84 = 396,765.84 : x
  2. Step 2: Convert to fraction form
    180,442.69/396,765.84 = 396,765.84/x
  3. Step 3: Cross multiply
    180,442.69x = 396,765.84 × 396,765.84
  4. Step 4: Simplify right side
    180,442.69x = 157,423,134,766.65
  5. Step 5: Solve for x
    x = 157,423,134,766.65/180,442.69
  6. Step 6: Final answer
    x = 872,427.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.