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Finding the Third Proportional to 192,200 and 287,532

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Solution

The third proportional to 192,200 and 287,532 is: 430,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,200 : 287,532 = 287,532 : x
  2. Step 2: Convert to fraction form
    192,200/287,532 = 287,532/x
  3. Step 3: Cross multiply
    192,200x = 287,532 × 287,532
  4. Step 4: Simplify right side
    192,200x = 82,674,651,024
  5. Step 5: Solve for x
    x = 82,674,651,024/192,200
  6. Step 6: Final answer
    x = 430,149.07

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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.