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Finding the Third Proportional to 309,434 and 675,228

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Solution

The third proportional to 309,434 and 675,228 is: 1,473,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,434 : 675,228 = 675,228 : x
  2. Step 2: Convert to fraction form
    309,434/675,228 = 675,228/x
  3. Step 3: Cross multiply
    309,434x = 675,228 × 675,228
  4. Step 4: Simplify right side
    309,434x = 455,932,851,984
  5. Step 5: Solve for x
    x = 455,932,851,984/309,434
  6. Step 6: Final answer
    x = 1,473,441.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.