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Finding the Third Proportional to 29,578 and 71,380

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Solution

The third proportional to 29,578 and 71,380 is: 172,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578 : 71,380 = 71,380 : x
  2. Step 2: Convert to fraction form
    29,578/71,380 = 71,380/x
  3. Step 3: Cross multiply
    29,578x = 71,380 × 71,380
  4. Step 4: Simplify right side
    29,578x = 5,095,104,400
  5. Step 5: Solve for x
    x = 5,095,104,400/29,578
  6. Step 6: Final answer
    x = 172,259.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.