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Finding the Third Proportional to 27,155 and 40,906

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Solution

The third proportional to 27,155 and 40,906 is: 61,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,155 : 40,906 = 40,906 : x
  2. Step 2: Convert to fraction form
    27,155/40,906 = 40,906/x
  3. Step 3: Cross multiply
    27,155x = 40,906 × 40,906
  4. Step 4: Simplify right side
    27,155x = 1,673,300,836
  5. Step 5: Solve for x
    x = 1,673,300,836/27,155
  6. Step 6: Final answer
    x = 61,620.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.