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Finding the Third Proportional to 133,425 and 318,921

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Solution

The third proportional to 133,425 and 318,921 is: 762,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,425 : 318,921 = 318,921 : x
  2. Step 2: Convert to fraction form
    133,425/318,921 = 318,921/x
  3. Step 3: Cross multiply
    133,425x = 318,921 × 318,921
  4. Step 4: Simplify right side
    133,425x = 101,710,604,241
  5. Step 5: Solve for x
    x = 101,710,604,241/133,425
  6. Step 6: Final answer
    x = 762,305.45

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.