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Finding the Third Proportional to 133,876 and 289,520

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Solution

The third proportional to 133,876 and 289,520 is: 626,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,876 : 289,520 = 289,520 : x
  2. Step 2: Convert to fraction form
    133,876/289,520 = 289,520/x
  3. Step 3: Cross multiply
    133,876x = 289,520 × 289,520
  4. Step 4: Simplify right side
    133,876x = 83,821,830,400
  5. Step 5: Solve for x
    x = 83,821,830,400/133,876
  6. Step 6: Final answer
    x = 626,115.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.