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Finding the Third Proportional to 128,636 and 276,712

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Solution

The third proportional to 128,636 and 276,712 is: 595,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,636 : 276,712 = 276,712 : x
  2. Step 2: Convert to fraction form
    128,636/276,712 = 276,712/x
  3. Step 3: Cross multiply
    128,636x = 276,712 × 276,712
  4. Step 4: Simplify right side
    128,636x = 76,569,530,944
  5. Step 5: Solve for x
    x = 76,569,530,944/128,636
  6. Step 6: Final answer
    x = 595,241.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.