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Finding the Third Proportional to 263,930 and 408,495

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Solution

The third proportional to 263,930 and 408,495 is: 632,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,930 : 408,495 = 408,495 : x
  2. Step 2: Convert to fraction form
    263,930/408,495 = 408,495/x
  3. Step 3: Cross multiply
    263,930x = 408,495 × 408,495
  4. Step 4: Simplify right side
    263,930x = 166,868,165,025
  5. Step 5: Solve for x
    x = 166,868,165,025/263,930
  6. Step 6: Final answer
    x = 632,244.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.