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Finding the Third Proportional to 139,532 and 199,272

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Solution

The third proportional to 139,532 and 199,272 is: 284,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,532 : 199,272 = 199,272 : x
  2. Step 2: Convert to fraction form
    139,532/199,272 = 199,272/x
  3. Step 3: Cross multiply
    139,532x = 199,272 × 199,272
  4. Step 4: Simplify right side
    139,532x = 39,709,329,984
  5. Step 5: Solve for x
    x = 39,709,329,984/139,532
  6. Step 6: Final answer
    x = 284,589.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.