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Finding the Third Proportional to 203,404.50 and 420,953

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Solution

The third proportional to 203,404.50 and 420,953 is: 871,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404.50 : 420,953 = 420,953 : x
  2. Step 2: Convert to fraction form
    203,404.50/420,953 = 420,953/x
  3. Step 3: Cross multiply
    203,404.50x = 420,953 × 420,953
  4. Step 4: Simplify right side
    203,404.50x = 177,201,428,209
  5. Step 5: Solve for x
    x = 177,201,428,209/203,404.50
  6. Step 6: Final answer
    x = 871,177.52

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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.