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Finding the Third Proportional to 17,517 and 26,638.50

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Solution

The third proportional to 17,517 and 26,638.50 is: 40,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517 : 26,638.50 = 26,638.50 : x
  2. Step 2: Convert to fraction form
    17,517/26,638.50 = 26,638.50/x
  3. Step 3: Cross multiply
    17,517x = 26,638.50 × 26,638.50
  4. Step 4: Simplify right side
    17,517x = 709,609,682.25
  5. Step 5: Solve for x
    x = 709,609,682.25/17,517
  6. Step 6: Final answer
    x = 40,509.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.