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Finding the Third Proportional to 263,606.50 and 408,518.50

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Solution

The third proportional to 263,606.50 and 408,518.50 is: 633,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,606.50 : 408,518.50 = 408,518.50 : x
  2. Step 2: Convert to fraction form
    263,606.50/408,518.50 = 408,518.50/x
  3. Step 3: Cross multiply
    263,606.50x = 408,518.50 × 408,518.50
  4. Step 4: Simplify right side
    263,606.50x = 166,887,364,842.25
  5. Step 5: Solve for x
    x = 166,887,364,842.25/263,606.50
  6. Step 6: Final answer
    x = 633,092.75

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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.