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Finding the Third Proportional to 383,408 and 806,476

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Solution

The third proportional to 383,408 and 806,476 is: 1,696,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,408 : 806,476 = 806,476 : x
  2. Step 2: Convert to fraction form
    383,408/806,476 = 806,476/x
  3. Step 3: Cross multiply
    383,408x = 806,476 × 806,476
  4. Step 4: Simplify right side
    383,408x = 650,403,538,576
  5. Step 5: Solve for x
    x = 650,403,538,576/383,408
  6. Step 6: Final answer
    x = 1,696,374.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.