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Finding the Third Proportional to 99,865 and 212,042

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Solution

The third proportional to 99,865 and 212,042 is: 450,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,865 : 212,042 = 212,042 : x
  2. Step 2: Convert to fraction form
    99,865/212,042 = 212,042/x
  3. Step 3: Cross multiply
    99,865x = 212,042 × 212,042
  4. Step 4: Simplify right side
    99,865x = 44,961,809,764
  5. Step 5: Solve for x
    x = 44,961,809,764/99,865
  6. Step 6: Final answer
    x = 450,225.90

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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.