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Finding the Third Proportional to 180,209.60 and 396,390.80

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Solution

The third proportional to 180,209.60 and 396,390.80 is: 871,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,209.60 : 396,390.80 = 396,390.80 : x
  2. Step 2: Convert to fraction form
    180,209.60/396,390.80 = 396,390.80/x
  3. Step 3: Cross multiply
    180,209.60x = 396,390.80 × 396,390.80
  4. Step 4: Simplify right side
    180,209.60x = 157,125,663,847.20
  5. Step 5: Solve for x
    x = 157,125,663,847.20/180,209.60
  6. Step 6: Final answer
    x = 871,905.06

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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.