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Finding the Third Proportional to 9,129.75 and 13,672.13

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Solution

The third proportional to 9,129.75 and 13,672.13 is: 20,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.75 : 13,672.13 = 13,672.13 : x
  2. Step 2: Convert to fraction form
    9,129.75/13,672.13 = 13,672.13/x
  3. Step 3: Cross multiply
    9,129.75x = 13,672.13 × 13,672.13
  4. Step 4: Simplify right side
    9,129.75x = 186,927,002.02
  5. Step 5: Solve for x
    x = 186,927,002.02/9,129.75
  6. Step 6: Final answer
    x = 20,474.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.