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Finding the Third Proportional to 133,424 and 318,919

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Solution

The third proportional to 133,424 and 318,919 is: 762,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,424 : 318,919 = 318,919 : x
  2. Step 2: Convert to fraction form
    133,424/318,919 = 318,919/x
  3. Step 3: Cross multiply
    133,424x = 318,919 × 318,919
  4. Step 4: Simplify right side
    133,424x = 101,709,328,561
  5. Step 5: Solve for x
    x = 101,709,328,561/133,424
  6. Step 6: Final answer
    x = 762,301.60

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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.