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Finding the Third Proportional to 180,778 and 389,504

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Solution

The third proportional to 180,778 and 389,504 is: 839,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,778 : 389,504 = 389,504 : x
  2. Step 2: Convert to fraction form
    180,778/389,504 = 389,504/x
  3. Step 3: Cross multiply
    180,778x = 389,504 × 389,504
  4. Step 4: Simplify right side
    180,778x = 151,713,366,016
  5. Step 5: Solve for x
    x = 151,713,366,016/180,778
  6. Step 6: Final answer
    x = 839,224.72

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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.