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Finding the Third Proportional to 139,872 and 305,364

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Solution

The third proportional to 139,872 and 305,364 is: 666,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,872 : 305,364 = 305,364 : x
  2. Step 2: Convert to fraction form
    139,872/305,364 = 305,364/x
  3. Step 3: Cross multiply
    139,872x = 305,364 × 305,364
  4. Step 4: Simplify right side
    139,872x = 93,247,172,496
  5. Step 5: Solve for x
    x = 93,247,172,496/139,872
  6. Step 6: Final answer
    x = 666,660.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.