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Finding the Third Proportional to 100,036 and 218,660

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Solution

The third proportional to 100,036 and 218,660 is: 477,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036 : 218,660 = 218,660 : x
  2. Step 2: Convert to fraction form
    100,036/218,660 = 218,660/x
  3. Step 3: Cross multiply
    100,036x = 218,660 × 218,660
  4. Step 4: Simplify right side
    100,036x = 47,812,195,600
  5. Step 5: Solve for x
    x = 47,812,195,600/100,036
  6. Step 6: Final answer
    x = 477,949.89

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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.