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Finding the Third Proportional to 15,567 and 34,405

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Solution

The third proportional to 15,567 and 34,405 is: 76,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567 : 34,405 = 34,405 : x
  2. Step 2: Convert to fraction form
    15,567/34,405 = 34,405/x
  3. Step 3: Cross multiply
    15,567x = 34,405 × 34,405
  4. Step 4: Simplify right side
    15,567x = 1,183,704,025
  5. Step 5: Solve for x
    x = 1,183,704,025/15,567
  6. Step 6: Final answer
    x = 76,039.32

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.