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Finding the Third Proportional to 28,469 and 61,690

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Solution

The third proportional to 28,469 and 61,690 is: 133,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,469 : 61,690 = 61,690 : x
  2. Step 2: Convert to fraction form
    28,469/61,690 = 61,690/x
  3. Step 3: Cross multiply
    28,469x = 61,690 × 61,690
  4. Step 4: Simplify right side
    28,469x = 3,805,656,100
  5. Step 5: Solve for x
    x = 3,805,656,100/28,469
  6. Step 6: Final answer
    x = 133,677.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.