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Finding the Third Proportional to 312,208 and 671,802

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Solution

The third proportional to 312,208 and 671,802 is: 1,445,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,208 : 671,802 = 671,802 : x
  2. Step 2: Convert to fraction form
    312,208/671,802 = 671,802/x
  3. Step 3: Cross multiply
    312,208x = 671,802 × 671,802
  4. Step 4: Simplify right side
    312,208x = 451,317,927,204
  5. Step 5: Solve for x
    x = 451,317,927,204/312,208
  6. Step 6: Final answer
    x = 1,445,568.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.