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Finding the Third Proportional to 299,750 and 451,605

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Solution

The third proportional to 299,750 and 451,605 is: 680,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,750 : 451,605 = 451,605 : x
  2. Step 2: Convert to fraction form
    299,750/451,605 = 451,605/x
  3. Step 3: Cross multiply
    299,750x = 451,605 × 451,605
  4. Step 4: Simplify right side
    299,750x = 203,947,076,025
  5. Step 5: Solve for x
    x = 203,947,076,025/299,750
  6. Step 6: Final answer
    x = 680,390.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.