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Finding the Third Proportional to 407,755 and 852,689

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Solution

The third proportional to 407,755 and 852,689 is: 1,783,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,755 : 852,689 = 852,689 : x
  2. Step 2: Convert to fraction form
    407,755/852,689 = 852,689/x
  3. Step 3: Cross multiply
    407,755x = 852,689 × 852,689
  4. Step 4: Simplify right side
    407,755x = 727,078,530,721
  5. Step 5: Solve for x
    x = 727,078,530,721/407,755
  6. Step 6: Final answer
    x = 1,783,125.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.