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Finding the Third Proportional to 127,739 and 277,212

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Solution

The third proportional to 127,739 and 277,212 is: 601,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,739 : 277,212 = 277,212 : x
  2. Step 2: Convert to fraction form
    127,739/277,212 = 277,212/x
  3. Step 3: Cross multiply
    127,739x = 277,212 × 277,212
  4. Step 4: Simplify right side
    127,739x = 76,846,492,944
  5. Step 5: Solve for x
    x = 76,846,492,944/127,739
  6. Step 6: Final answer
    x = 601,589.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.