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Finding the Third Proportional to 100,308 and 218,598

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Solution

The third proportional to 100,308 and 218,598 is: 476,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308 : 218,598 = 218,598 : x
  2. Step 2: Convert to fraction form
    100,308/218,598 = 218,598/x
  3. Step 3: Cross multiply
    100,308x = 218,598 × 218,598
  4. Step 4: Simplify right side
    100,308x = 47,785,085,604
  5. Step 5: Solve for x
    x = 47,785,085,604/100,308
  6. Step 6: Final answer
    x = 476,383.59

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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.