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Finding the Third Proportional to 28,216 and 66,847

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Solution

The third proportional to 28,216 and 66,847 is: 158,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,216 : 66,847 = 66,847 : x
  2. Step 2: Convert to fraction form
    28,216/66,847 = 66,847/x
  3. Step 3: Cross multiply
    28,216x = 66,847 × 66,847
  4. Step 4: Simplify right side
    28,216x = 4,468,521,409
  5. Step 5: Solve for x
    x = 4,468,521,409/28,216
  6. Step 6: Final answer
    x = 158,368.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.