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Finding the Third Proportional to 203,404.25 and 420,952.50

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Solution

The third proportional to 203,404.25 and 420,952.50 is: 871,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404.25 : 420,952.50 = 420,952.50 : x
  2. Step 2: Convert to fraction form
    203,404.25/420,952.50 = 420,952.50/x
  3. Step 3: Cross multiply
    203,404.25x = 420,952.50 × 420,952.50
  4. Step 4: Simplify right side
    203,404.25x = 177,201,007,256.25
  5. Step 5: Solve for x
    x = 177,201,007,256.25/203,404.25
  6. Step 6: Final answer
    x = 871,176.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.