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Finding the Third Proportional to 408,955.50 and 838,302.75

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Solution

The third proportional to 408,955.50 and 838,302.75 is: 1,718,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,955.50 : 838,302.75 = 838,302.75 : x
  2. Step 2: Convert to fraction form
    408,955.50/838,302.75 = 838,302.75/x
  3. Step 3: Cross multiply
    408,955.50x = 838,302.75 × 838,302.75
  4. Step 4: Simplify right side
    408,955.50x = 702,751,500,657.56
  5. Step 5: Solve for x
    x = 702,751,500,657.56/408,955.50
  6. Step 6: Final answer
    x = 1,718,405.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.