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Finding the Third Proportional to 122,578 and 192,610

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Solution

The third proportional to 122,578 and 192,610 is: 302,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578 : 192,610 = 192,610 : x
  2. Step 2: Convert to fraction form
    122,578/192,610 = 192,610/x
  3. Step 3: Cross multiply
    122,578x = 192,610 × 192,610
  4. Step 4: Simplify right side
    122,578x = 37,098,612,100
  5. Step 5: Solve for x
    x = 37,098,612,100/122,578
  6. Step 6: Final answer
    x = 302,653.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.