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Finding the Third Proportional to 11,500 and 15,154

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Solution

The third proportional to 11,500 and 15,154 is: 19,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500 : 15,154 = 15,154 : x
  2. Step 2: Convert to fraction form
    11,500/15,154 = 15,154/x
  3. Step 3: Cross multiply
    11,500x = 15,154 × 15,154
  4. Step 4: Simplify right side
    11,500x = 229,643,716
  5. Step 5: Solve for x
    x = 229,643,716/11,500
  6. Step 6: Final answer
    x = 19,969.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.