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Finding the Third Proportional to 9,232 and 13,886

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Solution

The third proportional to 9,232 and 13,886 is: 20,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232 : 13,886 = 13,886 : x
  2. Step 2: Convert to fraction form
    9,232/13,886 = 13,886/x
  3. Step 3: Cross multiply
    9,232x = 13,886 × 13,886
  4. Step 4: Simplify right side
    9,232x = 192,820,996
  5. Step 5: Solve for x
    x = 192,820,996/9,232
  6. Step 6: Final answer
    x = 20,886.16

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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.