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Finding the Third Proportional to 74,540 and 110,796

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Solution

The third proportional to 74,540 and 110,796 is: 164,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,540 : 110,796 = 110,796 : x
  2. Step 2: Convert to fraction form
    74,540/110,796 = 110,796/x
  3. Step 3: Cross multiply
    74,540x = 110,796 × 110,796
  4. Step 4: Simplify right side
    74,540x = 12,275,753,616
  5. Step 5: Solve for x
    x = 12,275,753,616/74,540
  6. Step 6: Final answer
    x = 164,686.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.