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Finding the Third Proportional to 51,754 and 105,685

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Solution

The third proportional to 51,754 and 105,685 is: 215,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754 : 105,685 = 105,685 : x
  2. Step 2: Convert to fraction form
    51,754/105,685 = 105,685/x
  3. Step 3: Cross multiply
    51,754x = 105,685 × 105,685
  4. Step 4: Simplify right side
    51,754x = 11,169,319,225
  5. Step 5: Solve for x
    x = 11,169,319,225/51,754
  6. Step 6: Final answer
    x = 215,815.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.