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Finding the Third Proportional to 316,408 and 682,544

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Solution

The third proportional to 316,408 and 682,544 is: 1,472,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,408 : 682,544 = 682,544 : x
  2. Step 2: Convert to fraction form
    316,408/682,544 = 682,544/x
  3. Step 3: Cross multiply
    316,408x = 682,544 × 682,544
  4. Step 4: Simplify right side
    316,408x = 465,866,311,936
  5. Step 5: Solve for x
    x = 465,866,311,936/316,408
  6. Step 6: Final answer
    x = 1,472,359.46

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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.