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Finding the Third Proportional to 127,638 and 272,652

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Solution

The third proportional to 127,638 and 272,652 is: 582,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,638 : 272,652 = 272,652 : x
  2. Step 2: Convert to fraction form
    127,638/272,652 = 272,652/x
  3. Step 3: Cross multiply
    127,638x = 272,652 × 272,652
  4. Step 4: Simplify right side
    127,638x = 74,339,113,104
  5. Step 5: Solve for x
    x = 74,339,113,104/127,638
  6. Step 6: Final answer
    x = 582,421.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.