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Finding the Third Proportional to 300,640 and 475,696

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Solution

The third proportional to 300,640 and 475,696 is: 752,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,640 : 475,696 = 475,696 : x
  2. Step 2: Convert to fraction form
    300,640/475,696 = 475,696/x
  3. Step 3: Cross multiply
    300,640x = 475,696 × 475,696
  4. Step 4: Simplify right side
    300,640x = 226,286,684,416
  5. Step 5: Solve for x
    x = 226,286,684,416/300,640
  6. Step 6: Final answer
    x = 752,683.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.