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Finding the Third Proportional to 127,932 and 200,678

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Solution

The third proportional to 127,932 and 200,678 is: 314,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,932 : 200,678 = 200,678 : x
  2. Step 2: Convert to fraction form
    127,932/200,678 = 200,678/x
  3. Step 3: Cross multiply
    127,932x = 200,678 × 200,678
  4. Step 4: Simplify right side
    127,932x = 40,271,659,684
  5. Step 5: Solve for x
    x = 40,271,659,684/127,932
  6. Step 6: Final answer
    x = 314,789.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.