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Finding the Third Proportional to 63,419 and 137,405

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Solution

The third proportional to 63,419 and 137,405 is: 297,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,419 : 137,405 = 137,405 : x
  2. Step 2: Convert to fraction form
    63,419/137,405 = 137,405/x
  3. Step 3: Cross multiply
    63,419x = 137,405 × 137,405
  4. Step 4: Simplify right side
    63,419x = 18,880,134,025
  5. Step 5: Solve for x
    x = 18,880,134,025/63,419
  6. Step 6: Final answer
    x = 297,704.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.