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Finding the Third Proportional to 192,168 and 283,284

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Solution

The third proportional to 192,168 and 283,284 is: 417,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,168 : 283,284 = 283,284 : x
  2. Step 2: Convert to fraction form
    192,168/283,284 = 283,284/x
  3. Step 3: Cross multiply
    192,168x = 283,284 × 283,284
  4. Step 4: Simplify right side
    192,168x = 80,249,824,656
  5. Step 5: Solve for x
    x = 80,249,824,656/192,168
  6. Step 6: Final answer
    x = 417,602.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.