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Finding the Third Proportional to 316,439 and 682,356

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Solution

The third proportional to 316,439 and 682,356 is: 1,471,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,439 : 682,356 = 682,356 : x
  2. Step 2: Convert to fraction form
    316,439/682,356 = 682,356/x
  3. Step 3: Cross multiply
    316,439x = 682,356 × 682,356
  4. Step 4: Simplify right side
    316,439x = 465,609,710,736
  5. Step 5: Solve for x
    x = 465,609,710,736/316,439
  6. Step 6: Final answer
    x = 1,471,404.32

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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.