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Finding the Third Proportional to 28,261 and 43,690

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Solution

The third proportional to 28,261 and 43,690 is: 67,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261 : 43,690 = 43,690 : x
  2. Step 2: Convert to fraction form
    28,261/43,690 = 43,690/x
  3. Step 3: Cross multiply
    28,261x = 43,690 × 43,690
  4. Step 4: Simplify right side
    28,261x = 1,908,816,100
  5. Step 5: Solve for x
    x = 1,908,816,100/28,261
  6. Step 6: Final answer
    x = 67,542.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.