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Finding the Third Proportional to 28,872 and 62,976

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Solution

The third proportional to 28,872 and 62,976 is: 137,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,872 : 62,976 = 62,976 : x
  2. Step 2: Convert to fraction form
    28,872/62,976 = 62,976/x
  3. Step 3: Cross multiply
    28,872x = 62,976 × 62,976
  4. Step 4: Simplify right side
    28,872x = 3,965,976,576
  5. Step 5: Solve for x
    x = 3,965,976,576/28,872
  6. Step 6: Final answer
    x = 137,364.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.