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Finding the Third Proportional to 163,817 and 350,405

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Solution

The third proportional to 163,817 and 350,405 is: 749,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,817 : 350,405 = 350,405 : x
  2. Step 2: Convert to fraction form
    163,817/350,405 = 350,405/x
  3. Step 3: Cross multiply
    163,817x = 350,405 × 350,405
  4. Step 4: Simplify right side
    163,817x = 122,783,664,025
  5. Step 5: Solve for x
    x = 122,783,664,025/163,817
  6. Step 6: Final answer
    x = 749,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.