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Finding the Third Proportional to 13,123.50 and 16,617

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Solution

The third proportional to 13,123.50 and 16,617 is: 21,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.50 : 16,617 = 16,617 : x
  2. Step 2: Convert to fraction form
    13,123.50/16,617 = 16,617/x
  3. Step 3: Cross multiply
    13,123.50x = 16,617 × 16,617
  4. Step 4: Simplify right side
    13,123.50x = 276,124,689
  5. Step 5: Solve for x
    x = 276,124,689/13,123.50
  6. Step 6: Final answer
    x = 21,040.48

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.