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Finding the Third Proportional to 28,056 and 43,121

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Solution

The third proportional to 28,056 and 43,121 is: 66,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,056 : 43,121 = 43,121 : x
  2. Step 2: Convert to fraction form
    28,056/43,121 = 43,121/x
  3. Step 3: Cross multiply
    28,056x = 43,121 × 43,121
  4. Step 4: Simplify right side
    28,056x = 1,859,420,641
  5. Step 5: Solve for x
    x = 1,859,420,641/28,056
  6. Step 6: Final answer
    x = 66,275.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.