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Finding the Third Proportional to 99,929 and 212,805

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Solution

The third proportional to 99,929 and 212,805 is: 453,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,929 : 212,805 = 212,805 : x
  2. Step 2: Convert to fraction form
    99,929/212,805 = 212,805/x
  3. Step 3: Cross multiply
    99,929x = 212,805 × 212,805
  4. Step 4: Simplify right side
    99,929x = 45,285,968,025
  5. Step 5: Solve for x
    x = 45,285,968,025/99,929
  6. Step 6: Final answer
    x = 453,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.