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Finding the Third Proportional to 155,558 and 317,676

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Solution

The third proportional to 155,558 and 317,676 is: 648,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,558 : 317,676 = 317,676 : x
  2. Step 2: Convert to fraction form
    155,558/317,676 = 317,676/x
  3. Step 3: Cross multiply
    155,558x = 317,676 × 317,676
  4. Step 4: Simplify right side
    155,558x = 100,918,040,976
  5. Step 5: Solve for x
    x = 100,918,040,976/155,558
  6. Step 6: Final answer
    x = 648,748.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.