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Finding the Third Proportional to 263,650 and 408,582

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Solution

The third proportional to 263,650 and 408,582 is: 633,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,650 : 408,582 = 408,582 : x
  2. Step 2: Convert to fraction form
    263,650/408,582 = 408,582/x
  3. Step 3: Cross multiply
    263,650x = 408,582 × 408,582
  4. Step 4: Simplify right side
    263,650x = 166,939,250,724
  5. Step 5: Solve for x
    x = 166,939,250,724/263,650
  6. Step 6: Final answer
    x = 633,185.10

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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.