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Finding the Third Proportional to 155,584 and 317,738

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Solution

The third proportional to 155,584 and 317,738 is: 648,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,584 : 317,738 = 317,738 : x
  2. Step 2: Convert to fraction form
    155,584/317,738 = 317,738/x
  3. Step 3: Cross multiply
    155,584x = 317,738 × 317,738
  4. Step 4: Simplify right side
    155,584x = 100,957,436,644
  5. Step 5: Solve for x
    x = 100,957,436,644/155,584
  6. Step 6: Final answer
    x = 648,893.44

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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.