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Finding the Third Proportional to 81,040 and 122,640

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Solution

The third proportional to 81,040 and 122,640 is: 185,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,040 : 122,640 = 122,640 : x
  2. Step 2: Convert to fraction form
    81,040/122,640 = 122,640/x
  3. Step 3: Cross multiply
    81,040x = 122,640 × 122,640
  4. Step 4: Simplify right side
    81,040x = 15,040,569,600
  5. Step 5: Solve for x
    x = 15,040,569,600/81,040
  6. Step 6: Final answer
    x = 185,594.39

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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.