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Finding the Third Proportional to 316,435 and 682,348

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Solution

The third proportional to 316,435 and 682,348 is: 1,471,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,435 : 682,348 = 682,348 : x
  2. Step 2: Convert to fraction form
    316,435/682,348 = 682,348/x
  3. Step 3: Cross multiply
    316,435x = 682,348 × 682,348
  4. Step 4: Simplify right side
    316,435x = 465,598,793,104
  5. Step 5: Solve for x
    x = 465,598,793,104/316,435
  6. Step 6: Final answer
    x = 1,471,388.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.