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Finding the Third Proportional to 312,724 and 682,796

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Solution

The third proportional to 312,724 and 682,796 is: 1,490,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,724 : 682,796 = 682,796 : x
  2. Step 2: Convert to fraction form
    312,724/682,796 = 682,796/x
  3. Step 3: Cross multiply
    312,724x = 682,796 × 682,796
  4. Step 4: Simplify right side
    312,724x = 466,210,377,616
  5. Step 5: Solve for x
    x = 466,210,377,616/312,724
  6. Step 6: Final answer
    x = 1,490,804.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.