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Finding the Third Proportional to 96,780 and 208,920

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Solution

The third proportional to 96,780 and 208,920 is: 450,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,780 : 208,920 = 208,920 : x
  2. Step 2: Convert to fraction form
    96,780/208,920 = 208,920/x
  3. Step 3: Cross multiply
    96,780x = 208,920 × 208,920
  4. Step 4: Simplify right side
    96,780x = 43,647,566,400
  5. Step 5: Solve for x
    x = 43,647,566,400/96,780
  6. Step 6: Final answer
    x = 450,997.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.