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Finding the Third Proportional to 300,630 and 475,687

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Solution

The third proportional to 300,630 and 475,687 is: 752,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,630 : 475,687 = 475,687 : x
  2. Step 2: Convert to fraction form
    300,630/475,687 = 475,687/x
  3. Step 3: Cross multiply
    300,630x = 475,687 × 475,687
  4. Step 4: Simplify right side
    300,630x = 226,278,121,969
  5. Step 5: Solve for x
    x = 226,278,121,969/300,630
  6. Step 6: Final answer
    x = 752,679.78

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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.