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Finding the Third Proportional to 68,419 and 147,025

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Solution

The third proportional to 68,419 and 147,025 is: 315,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419 : 147,025 = 147,025 : x
  2. Step 2: Convert to fraction form
    68,419/147,025 = 147,025/x
  3. Step 3: Cross multiply
    68,419x = 147,025 × 147,025
  4. Step 4: Simplify right side
    68,419x = 21,616,350,625
  5. Step 5: Solve for x
    x = 21,616,350,625/68,419
  6. Step 6: Final answer
    x = 315,940.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.