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Finding the Third Proportional to 78,284 and 174,497

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Solution

The third proportional to 78,284 and 174,497 is: 388,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284 : 174,497 = 174,497 : x
  2. Step 2: Convert to fraction form
    78,284/174,497 = 174,497/x
  3. Step 3: Cross multiply
    78,284x = 174,497 × 174,497
  4. Step 4: Simplify right side
    78,284x = 30,449,203,009
  5. Step 5: Solve for x
    x = 30,449,203,009/78,284
  6. Step 6: Final answer
    x = 388,958.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.