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Finding the Third Proportional to 15,578 and 33,460

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Solution

The third proportional to 15,578 and 33,460 is: 71,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 33,460 = 33,460 : x
  2. Step 2: Convert to fraction form
    15,578/33,460 = 33,460/x
  3. Step 3: Cross multiply
    15,578x = 33,460 × 33,460
  4. Step 4: Simplify right side
    15,578x = 1,119,571,600
  5. Step 5: Solve for x
    x = 1,119,571,600/15,578
  6. Step 6: Final answer
    x = 71,868.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.