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Finding the Third Proportional to 244,380 and 378,390

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Solution

The third proportional to 244,380 and 378,390 is: 585,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,380 : 378,390 = 378,390 : x
  2. Step 2: Convert to fraction form
    244,380/378,390 = 378,390/x
  3. Step 3: Cross multiply
    244,380x = 378,390 × 378,390
  4. Step 4: Simplify right side
    244,380x = 143,178,992,100
  5. Step 5: Solve for x
    x = 143,178,992,100/244,380
  6. Step 6: Final answer
    x = 585,886.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.