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Finding the Third Proportional to 131,408 and 283,411

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Solution

The third proportional to 131,408 and 283,411 is: 611,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,408 : 283,411 = 283,411 : x
  2. Step 2: Convert to fraction form
    131,408/283,411 = 283,411/x
  3. Step 3: Cross multiply
    131,408x = 283,411 × 283,411
  4. Step 4: Simplify right side
    131,408x = 80,321,794,921
  5. Step 5: Solve for x
    x = 80,321,794,921/131,408
  6. Step 6: Final answer
    x = 611,239.76

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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.