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Finding the Third Proportional to 27,880 and 40,890

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Solution

The third proportional to 27,880 and 40,890 is: 59,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 40,890 = 40,890 : x
  2. Step 2: Convert to fraction form
    27,880/40,890 = 40,890/x
  3. Step 3: Cross multiply
    27,880x = 40,890 × 40,890
  4. Step 4: Simplify right side
    27,880x = 1,671,992,100
  5. Step 5: Solve for x
    x = 1,671,992,100/27,880
  6. Step 6: Final answer
    x = 59,971.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.