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Finding the Third Proportional to 309,366 and 655,338

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Solution

The third proportional to 309,366 and 655,338 is: 1,388,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,366 : 655,338 = 655,338 : x
  2. Step 2: Convert to fraction form
    309,366/655,338 = 655,338/x
  3. Step 3: Cross multiply
    309,366x = 655,338 × 655,338
  4. Step 4: Simplify right side
    309,366x = 429,467,894,244
  5. Step 5: Solve for x
    x = 429,467,894,244/309,366
  6. Step 6: Final answer
    x = 1,388,219.44

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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.