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Finding the Third Proportional to 455,992 and 681,436

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Solution

The third proportional to 455,992 and 681,436 is: 1,018,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,992 : 681,436 = 681,436 : x
  2. Step 2: Convert to fraction form
    455,992/681,436 = 681,436/x
  3. Step 3: Cross multiply
    455,992x = 681,436 × 681,436
  4. Step 4: Simplify right side
    455,992x = 464,355,022,096
  5. Step 5: Solve for x
    x = 464,355,022,096/455,992
  6. Step 6: Final answer
    x = 1,018,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.