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Finding the Third Proportional to 208,628 and 283,400

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Solution

The third proportional to 208,628 and 283,400 is: 384,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,628 : 283,400 = 283,400 : x
  2. Step 2: Convert to fraction form
    208,628/283,400 = 283,400/x
  3. Step 3: Cross multiply
    208,628x = 283,400 × 283,400
  4. Step 4: Simplify right side
    208,628x = 80,315,560,000
  5. Step 5: Solve for x
    x = 80,315,560,000/208,628
  6. Step 6: Final answer
    x = 384,970.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.