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Finding the Third Proportional to 274,241.25 and 423,798.75

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Solution

The third proportional to 274,241.25 and 423,798.75 is: 654,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,241.25 : 423,798.75 = 423,798.75 : x
  2. Step 2: Convert to fraction form
    274,241.25/423,798.75 = 423,798.75/x
  3. Step 3: Cross multiply
    274,241.25x = 423,798.75 × 423,798.75
  4. Step 4: Simplify right side
    274,241.25x = 179,605,380,501.56
  5. Step 5: Solve for x
    x = 179,605,380,501.56/274,241.25
  6. Step 6: Final answer
    x = 654,917.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.