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Finding the Third Proportional to 21,405 and 34,089.19

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Solution

The third proportional to 21,405 and 34,089.19 is: 54,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405 : 34,089.19 = 34,089.19 : x
  2. Step 2: Convert to fraction form
    21,405/34,089.19 = 34,089.19/x
  3. Step 3: Cross multiply
    21,405x = 34,089.19 × 34,089.19
  4. Step 4: Simplify right side
    21,405x = 1,162,072,704.41
  5. Step 5: Solve for x
    x = 1,162,072,704.41/21,405
  6. Step 6: Final answer
    x = 54,289.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.