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Finding the Third Proportional to 309,357 and 655,324

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Solution

The third proportional to 309,357 and 655,324 is: 1,388,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,357 : 655,324 = 655,324 : x
  2. Step 2: Convert to fraction form
    309,357/655,324 = 655,324/x
  3. Step 3: Cross multiply
    309,357x = 655,324 × 655,324
  4. Step 4: Simplify right side
    309,357x = 429,449,544,976
  5. Step 5: Solve for x
    x = 429,449,544,976/309,357
  6. Step 6: Final answer
    x = 1,388,200.51

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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.