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Finding the Third Proportional to 99,551 and 210,762

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Solution

The third proportional to 99,551 and 210,762 is: 446,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,551 : 210,762 = 210,762 : x
  2. Step 2: Convert to fraction form
    99,551/210,762 = 210,762/x
  3. Step 3: Cross multiply
    99,551x = 210,762 × 210,762
  4. Step 4: Simplify right side
    99,551x = 44,420,620,644
  5. Step 5: Solve for x
    x = 44,420,620,644/99,551
  6. Step 6: Final answer
    x = 446,209.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.