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Finding the Third Proportional to 378,468 and 447,588

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Solution

The third proportional to 378,468 and 447,588 is: 529,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,468 : 447,588 = 447,588 : x
  2. Step 2: Convert to fraction form
    378,468/447,588 = 447,588/x
  3. Step 3: Cross multiply
    378,468x = 447,588 × 447,588
  4. Step 4: Simplify right side
    378,468x = 200,335,017,744
  5. Step 5: Solve for x
    x = 200,335,017,744/378,468
  6. Step 6: Final answer
    x = 529,331.46

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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.