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Finding the Third Proportional to 447,078 and 676,395

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Solution

The third proportional to 447,078 and 676,395 is: 1,023,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,078 : 676,395 = 676,395 : x
  2. Step 2: Convert to fraction form
    447,078/676,395 = 676,395/x
  3. Step 3: Cross multiply
    447,078x = 676,395 × 676,395
  4. Step 4: Simplify right side
    447,078x = 457,510,196,025
  5. Step 5: Solve for x
    x = 457,510,196,025/447,078
  6. Step 6: Final answer
    x = 1,023,334.17

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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.