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Finding the Third Proportional to 99,984 and 211,209

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Solution

The third proportional to 99,984 and 211,209 is: 446,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,984 : 211,209 = 211,209 : x
  2. Step 2: Convert to fraction form
    99,984/211,209 = 211,209/x
  3. Step 3: Cross multiply
    99,984x = 211,209 × 211,209
  4. Step 4: Simplify right side
    99,984x = 44,609,241,681
  5. Step 5: Solve for x
    x = 44,609,241,681/99,984
  6. Step 6: Final answer
    x = 446,163.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.