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Finding the Third Proportional to 312,790 and 669,869

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Solution

The third proportional to 312,790 and 669,869 is: 1,434,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,790 : 669,869 = 669,869 : x
  2. Step 2: Convert to fraction form
    312,790/669,869 = 669,869/x
  3. Step 3: Cross multiply
    312,790x = 669,869 × 669,869
  4. Step 4: Simplify right side
    312,790x = 448,724,477,161
  5. Step 5: Solve for x
    x = 448,724,477,161/312,790
  6. Step 6: Final answer
    x = 1,434,587.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.