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Finding the Third Proportional to 300,628 and 475,684

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Solution

The third proportional to 300,628 and 475,684 is: 752,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,628 : 475,684 = 475,684 : x
  2. Step 2: Convert to fraction form
    300,628/475,684 = 475,684/x
  3. Step 3: Cross multiply
    300,628x = 475,684 × 475,684
  4. Step 4: Simplify right side
    300,628x = 226,275,267,856
  5. Step 5: Solve for x
    x = 226,275,267,856/300,628
  6. Step 6: Final answer
    x = 752,675.29

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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.