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Finding the Third Proportional to 51,737 and 113,634

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Solution

The third proportional to 51,737 and 113,634 is: 249,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,737 : 113,634 = 113,634 : x
  2. Step 2: Convert to fraction form
    51,737/113,634 = 113,634/x
  3. Step 3: Cross multiply
    51,737x = 113,634 × 113,634
  4. Step 4: Simplify right side
    51,737x = 12,912,685,956
  5. Step 5: Solve for x
    x = 12,912,685,956/51,737
  6. Step 6: Final answer
    x = 249,583.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.