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Finding the Third Proportional to 46,732 and 102,806

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Solution

The third proportional to 46,732 and 102,806 is: 226,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,732 : 102,806 = 102,806 : x
  2. Step 2: Convert to fraction form
    46,732/102,806 = 102,806/x
  3. Step 3: Cross multiply
    46,732x = 102,806 × 102,806
  4. Step 4: Simplify right side
    46,732x = 10,569,073,636
  5. Step 5: Solve for x
    x = 10,569,073,636/46,732
  6. Step 6: Final answer
    x = 226,163.52

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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.