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Finding the Third Proportional to 15,489 and 33,570

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Solution

The third proportional to 15,489 and 33,570 is: 72,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489 : 33,570 = 33,570 : x
  2. Step 2: Convert to fraction form
    15,489/33,570 = 33,570/x
  3. Step 3: Cross multiply
    15,489x = 33,570 × 33,570
  4. Step 4: Simplify right side
    15,489x = 1,126,944,900
  5. Step 5: Solve for x
    x = 1,126,944,900/15,489
  6. Step 6: Final answer
    x = 72,757.76

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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.