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Finding the Third Proportional to 18,516 and 27,117

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Solution

The third proportional to 18,516 and 27,117 is: 39,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516 : 27,117 = 27,117 : x
  2. Step 2: Convert to fraction form
    18,516/27,117 = 27,117/x
  3. Step 3: Cross multiply
    18,516x = 27,117 × 27,117
  4. Step 4: Simplify right side
    18,516x = 735,331,689
  5. Step 5: Solve for x
    x = 735,331,689/18,516
  6. Step 6: Final answer
    x = 39,713.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.