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Finding the Third Proportional to 40,284 and 69,930

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Solution

The third proportional to 40,284 and 69,930 is: 121,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,284 : 69,930 = 69,930 : x
  2. Step 2: Convert to fraction form
    40,284/69,930 = 69,930/x
  3. Step 3: Cross multiply
    40,284x = 69,930 × 69,930
  4. Step 4: Simplify right side
    40,284x = 4,890,204,900
  5. Step 5: Solve for x
    x = 4,890,204,900/40,284
  6. Step 6: Final answer
    x = 121,393.23

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.