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Finding the Third Proportional to 23,406 and 53,763

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Solution

The third proportional to 23,406 and 53,763 is: 123,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406 : 53,763 = 53,763 : x
  2. Step 2: Convert to fraction form
    23,406/53,763 = 53,763/x
  3. Step 3: Cross multiply
    23,406x = 53,763 × 53,763
  4. Step 4: Simplify right side
    23,406x = 2,890,460,169
  5. Step 5: Solve for x
    x = 2,890,460,169/23,406
  6. Step 6: Final answer
    x = 123,492.27

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.