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Finding the Third Proportional to 40,904 and 87,640

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Solution

The third proportional to 40,904 and 87,640 is: 187,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,904 : 87,640 = 87,640 : x
  2. Step 2: Convert to fraction form
    40,904/87,640 = 87,640/x
  3. Step 3: Cross multiply
    40,904x = 87,640 × 87,640
  4. Step 4: Simplify right side
    40,904x = 7,680,769,600
  5. Step 5: Solve for x
    x = 7,680,769,600/40,904
  6. Step 6: Final answer
    x = 187,775.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.