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Finding the Third Proportional to 11,197 and 15,154.50

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Solution

The third proportional to 11,197 and 15,154.50 is: 20,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197 : 15,154.50 = 15,154.50 : x
  2. Step 2: Convert to fraction form
    11,197/15,154.50 = 15,154.50/x
  3. Step 3: Cross multiply
    11,197x = 15,154.50 × 15,154.50
  4. Step 4: Simplify right side
    11,197x = 229,658,870.25
  5. Step 5: Solve for x
    x = 229,658,870.25/11,197
  6. Step 6: Final answer
    x = 20,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.