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Finding the Third Proportional to 300,930 and 457,305

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Solution

The third proportional to 300,930 and 457,305 is: 694,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,930 : 457,305 = 457,305 : x
  2. Step 2: Convert to fraction form
    300,930/457,305 = 457,305/x
  3. Step 3: Cross multiply
    300,930x = 457,305 × 457,305
  4. Step 4: Simplify right side
    300,930x = 209,127,863,025
  5. Step 5: Solve for x
    x = 209,127,863,025/300,930
  6. Step 6: Final answer
    x = 694,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.