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Finding the Third Proportional to 13,886 and 21,117

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Solution

The third proportional to 13,886 and 21,117 is: 32,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 21,117 = 21,117 : x
  2. Step 2: Convert to fraction form
    13,886/21,117 = 21,117/x
  3. Step 3: Cross multiply
    13,886x = 21,117 × 21,117
  4. Step 4: Simplify right side
    13,886x = 445,927,689
  5. Step 5: Solve for x
    x = 445,927,689/13,886
  6. Step 6: Final answer
    x = 32,113.47

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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.