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Finding the Third Proportional to 99,866 and 211,000

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Solution

The third proportional to 99,866 and 211,000 is: 445,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,866 : 211,000 = 211,000 : x
  2. Step 2: Convert to fraction form
    99,866/211,000 = 211,000/x
  3. Step 3: Cross multiply
    99,866x = 211,000 × 211,000
  4. Step 4: Simplify right side
    99,866x = 44,521,000,000
  5. Step 5: Solve for x
    x = 44,521,000,000/99,866
  6. Step 6: Final answer
    x = 445,807.38

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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.