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Finding the Third Proportional to 303,380 and 659,708

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Solution

The third proportional to 303,380 and 659,708 is: 1,434,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,380 : 659,708 = 659,708 : x
  2. Step 2: Convert to fraction form
    303,380/659,708 = 659,708/x
  3. Step 3: Cross multiply
    303,380x = 659,708 × 659,708
  4. Step 4: Simplify right side
    303,380x = 435,214,645,264
  5. Step 5: Solve for x
    x = 435,214,645,264/303,380
  6. Step 6: Final answer
    x = 1,434,552.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.