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Finding the Third Proportional to 15,503 and 33,580

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Solution

The third proportional to 15,503 and 33,580 is: 72,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503 : 33,580 = 33,580 : x
  2. Step 2: Convert to fraction form
    15,503/33,580 = 33,580/x
  3. Step 3: Cross multiply
    15,503x = 33,580 × 33,580
  4. Step 4: Simplify right side
    15,503x = 1,127,616,400
  5. Step 5: Solve for x
    x = 1,127,616,400/15,503
  6. Step 6: Final answer
    x = 72,735.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.