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Finding the Third Proportional to 123,050 and 192,775

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Solution

The third proportional to 123,050 and 192,775 is: 302,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,050 : 192,775 = 192,775 : x
  2. Step 2: Convert to fraction form
    123,050/192,775 = 192,775/x
  3. Step 3: Cross multiply
    123,050x = 192,775 × 192,775
  4. Step 4: Simplify right side
    123,050x = 37,162,200,625
  5. Step 5: Solve for x
    x = 37,162,200,625/123,050
  6. Step 6: Final answer
    x = 302,008.94

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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.