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Finding the Third Proportional to 378,454 and 447,575

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Solution

The third proportional to 378,454 and 447,575 is: 529,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,454 : 447,575 = 447,575 : x
  2. Step 2: Convert to fraction form
    378,454/447,575 = 447,575/x
  3. Step 3: Cross multiply
    378,454x = 447,575 × 447,575
  4. Step 4: Simplify right side
    378,454x = 200,323,380,625
  5. Step 5: Solve for x
    x = 200,323,380,625/378,454
  6. Step 6: Final answer
    x = 529,320.29

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.