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Finding the Third Proportional to 173,405 and 259,405

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Solution

The third proportional to 173,405 and 259,405 is: 388,056.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,405 : 259,405 = 259,405 : x
  2. Step 2: Convert to fraction form
    173,405/259,405 = 259,405/x
  3. Step 3: Cross multiply
    173,405x = 259,405 × 259,405
  4. Step 4: Simplify right side
    173,405x = 67,290,954,025
  5. Step 5: Solve for x
    x = 67,290,954,025/173,405
  6. Step 6: Final answer
    x = 388,056.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.