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Finding the Third Proportional to 27,640 and 42,873

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Solution

The third proportional to 27,640 and 42,873 is: 66,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640 : 42,873 = 42,873 : x
  2. Step 2: Convert to fraction form
    27,640/42,873 = 42,873/x
  3. Step 3: Cross multiply
    27,640x = 42,873 × 42,873
  4. Step 4: Simplify right side
    27,640x = 1,838,094,129
  5. Step 5: Solve for x
    x = 1,838,094,129/27,640
  6. Step 6: Final answer
    x = 66,501.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.