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Finding the Third Proportional to 133,032 and 289,338

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Solution

The third proportional to 133,032 and 289,338 is: 629,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032 : 289,338 = 289,338 : x
  2. Step 2: Convert to fraction form
    133,032/289,338 = 289,338/x
  3. Step 3: Cross multiply
    133,032x = 289,338 × 289,338
  4. Step 4: Simplify right side
    133,032x = 83,716,478,244
  5. Step 5: Solve for x
    x = 83,716,478,244/133,032
  6. Step 6: Final answer
    x = 629,295.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.