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Finding the Third Proportional to 11,100.50 and 23,780.38

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Solution

The third proportional to 11,100.50 and 23,780.38 is: 50,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.50 : 23,780.38 = 23,780.38 : x
  2. Step 2: Convert to fraction form
    11,100.50/23,780.38 = 23,780.38/x
  3. Step 3: Cross multiply
    11,100.50x = 23,780.38 × 23,780.38
  4. Step 4: Simplify right side
    11,100.50x = 565,506,235.14
  5. Step 5: Solve for x
    x = 565,506,235.14/11,100.50
  6. Step 6: Final answer
    x = 50,944.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.