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Finding the Third Proportional to 127,511 and 280,185

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Solution

The third proportional to 127,511 and 280,185 is: 615,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,511 : 280,185 = 280,185 : x
  2. Step 2: Convert to fraction form
    127,511/280,185 = 280,185/x
  3. Step 3: Cross multiply
    127,511x = 280,185 × 280,185
  4. Step 4: Simplify right side
    127,511x = 78,503,634,225
  5. Step 5: Solve for x
    x = 78,503,634,225/127,511
  6. Step 6: Final answer
    x = 615,661.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.