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Finding the Third Proportional to 12,190.50 and 21,510.56

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Solution

The third proportional to 12,190.50 and 21,510.56 is: 37,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 21,510.56 = 21,510.56 : x
  2. Step 2: Convert to fraction form
    12,190.50/21,510.56 = 21,510.56/x
  3. Step 3: Cross multiply
    12,190.50x = 21,510.56 × 21,510.56
  4. Step 4: Simplify right side
    12,190.50x = 462,704,299.07
  5. Step 5: Solve for x
    x = 462,704,299.07/12,190.50
  6. Step 6: Final answer
    x = 37,956.14

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.