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Finding the Third Proportional to 295,640 and 670,196

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Solution

The third proportional to 295,640 and 670,196 is: 1,519,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,640 : 670,196 = 670,196 : x
  2. Step 2: Convert to fraction form
    295,640/670,196 = 670,196/x
  3. Step 3: Cross multiply
    295,640x = 670,196 × 670,196
  4. Step 4: Simplify right side
    295,640x = 449,162,678,416
  5. Step 5: Solve for x
    x = 449,162,678,416/295,640
  6. Step 6: Final answer
    x = 1,519,289.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.