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Finding the Third Proportional to 192,597.75 and 289,480.50

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Solution

The third proportional to 192,597.75 and 289,480.50 is: 435,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,597.75 : 289,480.50 = 289,480.50 : x
  2. Step 2: Convert to fraction form
    192,597.75/289,480.50 = 289,480.50/x
  3. Step 3: Cross multiply
    192,597.75x = 289,480.50 × 289,480.50
  4. Step 4: Simplify right side
    192,597.75x = 83,798,959,880.25
  5. Step 5: Solve for x
    x = 83,798,959,880.25/192,597.75
  6. Step 6: Final answer
    x = 435,098.33

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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.