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Finding the Third Proportional to 638,506 and 1,396,676

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Solution

The third proportional to 638,506 and 1,396,676 is: 3,055,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,506 : 1,396,676 = 1,396,676 : x
  2. Step 2: Convert to fraction form
    638,506/1,396,676 = 1,396,676/x
  3. Step 3: Cross multiply
    638,506x = 1,396,676 × 1,396,676
  4. Step 4: Simplify right side
    638,506x = 1,950,703,848,976
  5. Step 5: Solve for x
    x = 1,950,703,848,976/638,506
  6. Step 6: Final answer
    x = 3,055,106.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.