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Finding the Third Proportional to 15,464 and 33,763

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Solution

The third proportional to 15,464 and 33,763 is: 73,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464 : 33,763 = 33,763 : x
  2. Step 2: Convert to fraction form
    15,464/33,763 = 33,763/x
  3. Step 3: Cross multiply
    15,464x = 33,763 × 33,763
  4. Step 4: Simplify right side
    15,464x = 1,139,940,169
  5. Step 5: Solve for x
    x = 1,139,940,169/15,464
  6. Step 6: Final answer
    x = 73,715.74

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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.