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Finding the Third Proportional to 127,813 and 276,781

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Solution

The third proportional to 127,813 and 276,781 is: 599,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,813 : 276,781 = 276,781 : x
  2. Step 2: Convert to fraction form
    127,813/276,781 = 276,781/x
  3. Step 3: Cross multiply
    127,813x = 276,781 × 276,781
  4. Step 4: Simplify right side
    127,813x = 76,607,721,961
  5. Step 5: Solve for x
    x = 76,607,721,961/127,813
  6. Step 6: Final answer
    x = 599,373.48

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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.