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Finding the Third Proportional to 127,665 and 281,250

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Solution

The third proportional to 127,665 and 281,250 is: 619,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,665 : 281,250 = 281,250 : x
  2. Step 2: Convert to fraction form
    127,665/281,250 = 281,250/x
  3. Step 3: Cross multiply
    127,665x = 281,250 × 281,250
  4. Step 4: Simplify right side
    127,665x = 79,101,562,500
  5. Step 5: Solve for x
    x = 79,101,562,500/127,665
  6. Step 6: Final answer
    x = 619,602.57

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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.