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Finding the Third Proportional to 127,312 and 280,976

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Solution

The third proportional to 127,312 and 280,976 is: 620,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,312 : 280,976 = 280,976 : x
  2. Step 2: Convert to fraction form
    127,312/280,976 = 280,976/x
  3. Step 3: Cross multiply
    127,312x = 280,976 × 280,976
  4. Step 4: Simplify right side
    127,312x = 78,947,512,576
  5. Step 5: Solve for x
    x = 78,947,512,576/127,312
  6. Step 6: Final answer
    x = 620,110.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.