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Finding the Third Proportional to 180,959 and 389,965

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Solution

The third proportional to 180,959 and 389,965 is: 840,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,959 : 389,965 = 389,965 : x
  2. Step 2: Convert to fraction form
    180,959/389,965 = 389,965/x
  3. Step 3: Cross multiply
    180,959x = 389,965 × 389,965
  4. Step 4: Simplify right side
    180,959x = 152,072,701,225
  5. Step 5: Solve for x
    x = 152,072,701,225/180,959
  6. Step 6: Final answer
    x = 840,371.03

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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.