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Finding the Third Proportional to 40,480 and 82,976

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Solution

The third proportional to 40,480 and 82,976 is: 170,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,480 : 82,976 = 82,976 : x
  2. Step 2: Convert to fraction form
    40,480/82,976 = 82,976/x
  3. Step 3: Cross multiply
    40,480x = 82,976 × 82,976
  4. Step 4: Simplify right side
    40,480x = 6,885,016,576
  5. Step 5: Solve for x
    x = 6,885,016,576/40,480
  6. Step 6: Final answer
    x = 170,084.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.