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Finding the Third Proportional to 102,408 and 212,991

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Solution

The third proportional to 102,408 and 212,991 is: 442,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408 : 212,991 = 212,991 : x
  2. Step 2: Convert to fraction form
    102,408/212,991 = 212,991/x
  3. Step 3: Cross multiply
    102,408x = 212,991 × 212,991
  4. Step 4: Simplify right side
    102,408x = 45,365,166,081
  5. Step 5: Solve for x
    x = 45,365,166,081/102,408
  6. Step 6: Final answer
    x = 442,984.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.