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Finding the Third Proportional to 127,678 and 274,310

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Solution

The third proportional to 127,678 and 274,310 is: 589,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,678 : 274,310 = 274,310 : x
  2. Step 2: Convert to fraction form
    127,678/274,310 = 274,310/x
  3. Step 3: Cross multiply
    127,678x = 274,310 × 274,310
  4. Step 4: Simplify right side
    127,678x = 75,245,976,100
  5. Step 5: Solve for x
    x = 75,245,976,100/127,678
  6. Step 6: Final answer
    x = 589,341.75

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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.