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Finding the Third Proportional to 209,733.75 and 319,133.25

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Solution

The third proportional to 209,733.75 and 319,133.25 is: 485,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,733.75 : 319,133.25 = 319,133.25 : x
  2. Step 2: Convert to fraction form
    209,733.75/319,133.25 = 319,133.25/x
  3. Step 3: Cross multiply
    209,733.75x = 319,133.25 × 319,133.25
  4. Step 4: Simplify right side
    209,733.75x = 101,846,031,255.56
  5. Step 5: Solve for x
    x = 101,846,031,255.56/209,733.75
  6. Step 6: Final answer
    x = 485,596.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.