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Finding the Third Proportional to 40,760 and 84,140

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Solution

The third proportional to 40,760 and 84,140 is: 173,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,760 : 84,140 = 84,140 : x
  2. Step 2: Convert to fraction form
    40,760/84,140 = 84,140/x
  3. Step 3: Cross multiply
    40,760x = 84,140 × 84,140
  4. Step 4: Simplify right side
    40,760x = 7,079,539,600
  5. Step 5: Solve for x
    x = 7,079,539,600/40,760
  6. Step 6: Final answer
    x = 173,688.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.