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Finding the Third Proportional to 415,904.63 and 851,517.56

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Solution

The third proportional to 415,904.63 and 851,517.56 is: 1,743,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,904.63 : 851,517.56 = 851,517.56 : x
  2. Step 2: Convert to fraction form
    415,904.63/851,517.56 = 851,517.56/x
  3. Step 3: Cross multiply
    415,904.63x = 851,517.56 × 851,517.56
  4. Step 4: Simplify right side
    415,904.63x = 725,082,159,245.94
  5. Step 5: Solve for x
    x = 725,082,159,245.94/415,904.63
  6. Step 6: Final answer
    x = 1,743,385.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.