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Finding the Third Proportional to 70,578 and 102,573

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Solution

The third proportional to 70,578 and 102,573 is: 149,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 102,573 = 102,573 : x
  2. Step 2: Convert to fraction form
    70,578/102,573 = 102,573/x
  3. Step 3: Cross multiply
    70,578x = 102,573 × 102,573
  4. Step 4: Simplify right side
    70,578x = 10,521,220,329
  5. Step 5: Solve for x
    x = 10,521,220,329/70,578
  6. Step 6: Final answer
    x = 149,072.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.