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Finding the Third Proportional to 104,221.69 and 212,133.94

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Solution

The third proportional to 104,221.69 and 212,133.94 is: 431,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,221.69 : 212,133.94 = 212,133.94 : x
  2. Step 2: Convert to fraction form
    104,221.69/212,133.94 = 212,133.94/x
  3. Step 3: Cross multiply
    104,221.69x = 212,133.94 × 212,133.94
  4. Step 4: Simplify right side
    104,221.69x = 45,000,807,439.25
  5. Step 5: Solve for x
    x = 45,000,807,439.25/104,221.69
  6. Step 6: Final answer
    x = 431,779.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.