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Finding the Third Proportional to 99,278 and 212,408

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Solution

The third proportional to 99,278 and 212,408 is: 454,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,278 : 212,408 = 212,408 : x
  2. Step 2: Convert to fraction form
    99,278/212,408 = 212,408/x
  3. Step 3: Cross multiply
    99,278x = 212,408 × 212,408
  4. Step 4: Simplify right side
    99,278x = 45,117,158,464
  5. Step 5: Solve for x
    x = 45,117,158,464/99,278
  6. Step 6: Final answer
    x = 454,452.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.