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Finding the Third Proportional to 203,914 and 299,921

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Solution

The third proportional to 203,914 and 299,921 is: 441,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914 : 299,921 = 299,921 : x
  2. Step 2: Convert to fraction form
    203,914/299,921 = 299,921/x
  3. Step 3: Cross multiply
    203,914x = 299,921 × 299,921
  4. Step 4: Simplify right side
    203,914x = 89,952,606,241
  5. Step 5: Solve for x
    x = 89,952,606,241/203,914
  6. Step 6: Final answer
    x = 441,130.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.