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Finding the Third Proportional to 309,380 and 655,366

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Solution

The third proportional to 309,380 and 655,366 is: 1,388,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,380 : 655,366 = 655,366 : x
  2. Step 2: Convert to fraction form
    309,380/655,366 = 655,366/x
  3. Step 3: Cross multiply
    309,380x = 655,366 × 655,366
  4. Step 4: Simplify right side
    309,380x = 429,504,593,956
  5. Step 5: Solve for x
    x = 429,504,593,956/309,380
  6. Step 6: Final answer
    x = 1,388,275.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.