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Finding the Third Proportional to 180,204.47 and 396,381.09

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Solution

The third proportional to 180,204.47 and 396,381.09 is: 871,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,204.47 : 396,381.09 = 396,381.09 : x
  2. Step 2: Convert to fraction form
    180,204.47/396,381.09 = 396,381.09/x
  3. Step 3: Cross multiply
    180,204.47x = 396,381.09 × 396,381.09
  4. Step 4: Simplify right side
    180,204.47x = 157,117,971,482.45
  5. Step 5: Solve for x
    x = 157,117,971,482.45/180,204.47
  6. Step 6: Final answer
    x = 871,887.21

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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.