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Finding the Third Proportional to 378,452.25 and 447,572.25

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Solution

The third proportional to 378,452.25 and 447,572.25 is: 529,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,452.25 : 447,572.25 = 447,572.25 : x
  2. Step 2: Convert to fraction form
    378,452.25/447,572.25 = 447,572.25/x
  3. Step 3: Cross multiply
    378,452.25x = 447,572.25 × 447,572.25
  4. Step 4: Simplify right side
    378,452.25x = 200,320,918,970.06
  5. Step 5: Solve for x
    x = 200,320,918,970.06/378,452.25
  6. Step 6: Final answer
    x = 529,316.23

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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.