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Finding the Third Proportional to 99,740 and 218,200

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Solution

The third proportional to 99,740 and 218,200 is: 477,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,740 : 218,200 = 218,200 : x
  2. Step 2: Convert to fraction form
    99,740/218,200 = 218,200/x
  3. Step 3: Cross multiply
    99,740x = 218,200 × 218,200
  4. Step 4: Simplify right side
    99,740x = 47,611,240,000
  5. Step 5: Solve for x
    x = 47,611,240,000/99,740
  6. Step 6: Final answer
    x = 477,353.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.