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Finding the Third Proportional to 101,814 and 218,220

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Solution

The third proportional to 101,814 and 218,220 is: 467,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,814 : 218,220 = 218,220 : x
  2. Step 2: Convert to fraction form
    101,814/218,220 = 218,220/x
  3. Step 3: Cross multiply
    101,814x = 218,220 × 218,220
  4. Step 4: Simplify right side
    101,814x = 47,619,968,400
  5. Step 5: Solve for x
    x = 47,619,968,400/101,814
  6. Step 6: Final answer
    x = 467,715.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.