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Finding the Third Proportional to 139,536 and 199,278

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Solution

The third proportional to 139,536 and 199,278 is: 284,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,536 : 199,278 = 199,278 : x
  2. Step 2: Convert to fraction form
    139,536/199,278 = 199,278/x
  3. Step 3: Cross multiply
    139,536x = 199,278 × 199,278
  4. Step 4: Simplify right side
    139,536x = 39,711,721,284
  5. Step 5: Solve for x
    x = 39,711,721,284/139,536
  6. Step 6: Final answer
    x = 284,598.39

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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.