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Finding the Third Proportional to 100,435 and 218,810

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Solution

The third proportional to 100,435 and 218,810 is: 476,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,435 : 218,810 = 218,810 : x
  2. Step 2: Convert to fraction form
    100,435/218,810 = 218,810/x
  3. Step 3: Cross multiply
    100,435x = 218,810 × 218,810
  4. Step 4: Simplify right side
    100,435x = 47,877,816,100
  5. Step 5: Solve for x
    x = 47,877,816,100/100,435
  6. Step 6: Final answer
    x = 476,704.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.