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Finding the Third Proportional to 100,007 and 218,695

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Solution

The third proportional to 100,007 and 218,695 is: 478,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,007 : 218,695 = 218,695 : x
  2. Step 2: Convert to fraction form
    100,007/218,695 = 218,695/x
  3. Step 3: Cross multiply
    100,007x = 218,695 × 218,695
  4. Step 4: Simplify right side
    100,007x = 47,827,503,025
  5. Step 5: Solve for x
    x = 47,827,503,025/100,007
  6. Step 6: Final answer
    x = 478,241.55

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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.