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Finding the Third Proportional to 127,716.75 and 268,272

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Solution

The third proportional to 127,716.75 and 268,272 is: 563,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,716.75 : 268,272 = 268,272 : x
  2. Step 2: Convert to fraction form
    127,716.75/268,272 = 268,272/x
  3. Step 3: Cross multiply
    127,716.75x = 268,272 × 268,272
  4. Step 4: Simplify right side
    127,716.75x = 71,969,865,984
  5. Step 5: Solve for x
    x = 71,969,865,984/127,716.75
  6. Step 6: Final answer
    x = 563,511.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.