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Finding the Third Proportional to 209,425.50 and 313,292.25

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Solution

The third proportional to 209,425.50 and 313,292.25 is: 468,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,425.50 : 313,292.25 = 313,292.25 : x
  2. Step 2: Convert to fraction form
    209,425.50/313,292.25 = 313,292.25/x
  3. Step 3: Cross multiply
    209,425.50x = 313,292.25 × 313,292.25
  4. Step 4: Simplify right side
    209,425.50x = 98,152,033,910.06
  5. Step 5: Solve for x
    x = 98,152,033,910.06/209,425.50
  6. Step 6: Final answer
    x = 468,672.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.