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Finding the Third Proportional to 407,756 and 852,691

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Solution

The third proportional to 407,756 and 852,691 is: 1,783,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,756 : 852,691 = 852,691 : x
  2. Step 2: Convert to fraction form
    407,756/852,691 = 852,691/x
  3. Step 3: Cross multiply
    407,756x = 852,691 × 852,691
  4. Step 4: Simplify right side
    407,756x = 727,081,941,481
  5. Step 5: Solve for x
    x = 727,081,941,481/407,756
  6. Step 6: Final answer
    x = 1,783,129.96

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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.