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Finding the Third Proportional to 208,453.50 and 423,366.75

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Solution

The third proportional to 208,453.50 and 423,366.75 is: 859,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,453.50 : 423,366.75 = 423,366.75 : x
  2. Step 2: Convert to fraction form
    208,453.50/423,366.75 = 423,366.75/x
  3. Step 3: Cross multiply
    208,453.50x = 423,366.75 × 423,366.75
  4. Step 4: Simplify right side
    208,453.50x = 179,239,405,005.56
  5. Step 5: Solve for x
    x = 179,239,405,005.56/208,453.50
  6. Step 6: Final answer
    x = 859,853.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.