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Finding the Third Proportional to 178,992 and 275,328

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Solution

The third proportional to 178,992 and 275,328 is: 423,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,992 : 275,328 = 275,328 : x
  2. Step 2: Convert to fraction form
    178,992/275,328 = 275,328/x
  3. Step 3: Cross multiply
    178,992x = 275,328 × 275,328
  4. Step 4: Simplify right side
    178,992x = 75,805,507,584
  5. Step 5: Solve for x
    x = 75,805,507,584/178,992
  6. Step 6: Final answer
    x = 423,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.