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Finding the Third Proportional to 13,486.50 and 20,738.53

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Solution

The third proportional to 13,486.50 and 20,738.53 is: 31,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.50 : 20,738.53 = 20,738.53 : x
  2. Step 2: Convert to fraction form
    13,486.50/20,738.53 = 20,738.53/x
  3. Step 3: Cross multiply
    13,486.50x = 20,738.53 × 20,738.53
  4. Step 4: Simplify right side
    13,486.50x = 430,086,678.41
  5. Step 5: Solve for x
    x = 430,086,678.41/13,486.50
  6. Step 6: Final answer
    x = 31,890.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.