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Finding the Third Proportional to 76,419 and 168,390

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Solution

The third proportional to 76,419 and 168,390 is: 371,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419 : 168,390 = 168,390 : x
  2. Step 2: Convert to fraction form
    76,419/168,390 = 168,390/x
  3. Step 3: Cross multiply
    76,419x = 168,390 × 168,390
  4. Step 4: Simplify right side
    76,419x = 28,355,192,100
  5. Step 5: Solve for x
    x = 28,355,192,100/76,419
  6. Step 6: Final answer
    x = 371,048.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.