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Finding the Third Proportional to 17,625.75 and 39,690

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Solution

The third proportional to 17,625.75 and 39,690 is: 89,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.75 : 39,690 = 39,690 : x
  2. Step 2: Convert to fraction form
    17,625.75/39,690 = 39,690/x
  3. Step 3: Cross multiply
    17,625.75x = 39,690 × 39,690
  4. Step 4: Simplify right side
    17,625.75x = 1,575,296,100
  5. Step 5: Solve for x
    x = 1,575,296,100/17,625.75
  6. Step 6: Final answer
    x = 89,374.70

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.