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Finding the Third Proportional to 97,930 and 211,408

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Solution

The third proportional to 97,930 and 211,408 is: 456,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,930 : 211,408 = 211,408 : x
  2. Step 2: Convert to fraction form
    97,930/211,408 = 211,408/x
  3. Step 3: Cross multiply
    97,930x = 211,408 × 211,408
  4. Step 4: Simplify right side
    97,930x = 44,693,342,464
  5. Step 5: Solve for x
    x = 44,693,342,464/97,930
  6. Step 6: Final answer
    x = 456,380.50

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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.