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Finding the Third Proportional to 127,964 and 280,120

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Solution

The third proportional to 127,964 and 280,120 is: 613,197.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,964 : 280,120 = 280,120 : x
  2. Step 2: Convert to fraction form
    127,964/280,120 = 280,120/x
  3. Step 3: Cross multiply
    127,964x = 280,120 × 280,120
  4. Step 4: Simplify right side
    127,964x = 78,467,214,400
  5. Step 5: Solve for x
    x = 78,467,214,400/127,964
  6. Step 6: Final answer
    x = 613,197.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.