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Finding the Third Proportional to 192,520 and 288,780

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Solution

The third proportional to 192,520 and 288,780 is: 433,170

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,520 : 288,780 = 288,780 : x
  2. Step 2: Convert to fraction form
    192,520/288,780 = 288,780/x
  3. Step 3: Cross multiply
    192,520x = 288,780 × 288,780
  4. Step 4: Simplify right side
    192,520x = 83,393,888,400
  5. Step 5: Solve for x
    x = 83,393,888,400/192,520
  6. Step 6: Final answer
    x = 433,170

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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.