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Finding the Third Proportional to 127,512 and 277,380

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Solution

The third proportional to 127,512 and 277,380 is: 603,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,512 : 277,380 = 277,380 : x
  2. Step 2: Convert to fraction form
    127,512/277,380 = 277,380/x
  3. Step 3: Cross multiply
    127,512x = 277,380 × 277,380
  4. Step 4: Simplify right side
    127,512x = 76,939,664,400
  5. Step 5: Solve for x
    x = 76,939,664,400/127,512
  6. Step 6: Final answer
    x = 603,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.