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Finding the Third Proportional to 127,991 and 284,390

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Solution

The third proportional to 127,991 and 284,390 is: 631,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,991 : 284,390 = 284,390 : x
  2. Step 2: Convert to fraction form
    127,991/284,390 = 284,390/x
  3. Step 3: Cross multiply
    127,991x = 284,390 × 284,390
  4. Step 4: Simplify right side
    127,991x = 80,877,672,100
  5. Step 5: Solve for x
    x = 80,877,672,100/127,991
  6. Step 6: Final answer
    x = 631,901.24

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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.