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Finding the Third Proportional to 415,980 and 851,670

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Solution

The third proportional to 415,980 and 851,670 is: 1,743,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,980 : 851,670 = 851,670 : x
  2. Step 2: Convert to fraction form
    415,980/851,670 = 851,670/x
  3. Step 3: Cross multiply
    415,980x = 851,670 × 851,670
  4. Step 4: Simplify right side
    415,980x = 725,341,788,900
  5. Step 5: Solve for x
    x = 725,341,788,900/415,980
  6. Step 6: Final answer
    x = 1,743,693.90

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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.