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Finding the Third Proportional to 99,660 and 212,240

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Solution

The third proportional to 99,660 and 212,240 is: 451,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,660 : 212,240 = 212,240 : x
  2. Step 2: Convert to fraction form
    99,660/212,240 = 212,240/x
  3. Step 3: Cross multiply
    99,660x = 212,240 × 212,240
  4. Step 4: Simplify right side
    99,660x = 45,045,817,600
  5. Step 5: Solve for x
    x = 45,045,817,600/99,660
  6. Step 6: Final answer
    x = 451,994.96

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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.