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Finding the Third Proportional to 389,080 and 836,284

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Solution

The third proportional to 389,080 and 836,284 is: 1,797,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,080 : 836,284 = 836,284 : x
  2. Step 2: Convert to fraction form
    389,080/836,284 = 836,284/x
  3. Step 3: Cross multiply
    389,080x = 836,284 × 836,284
  4. Step 4: Simplify right side
    389,080x = 699,370,928,656
  5. Step 5: Solve for x
    x = 699,370,928,656/389,080
  6. Step 6: Final answer
    x = 1,797,499.05

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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.