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Finding the Third Proportional to 127,992 and 284,392

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Solution

The third proportional to 127,992 and 284,392 is: 631,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,992 : 284,392 = 284,392 : x
  2. Step 2: Convert to fraction form
    127,992/284,392 = 284,392/x
  3. Step 3: Cross multiply
    127,992x = 284,392 × 284,392
  4. Step 4: Simplify right side
    127,992x = 80,878,809,664
  5. Step 5: Solve for x
    x = 80,878,809,664/127,992
  6. Step 6: Final answer
    x = 631,905.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.