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Finding the Third Proportional to 122,867 and 192,776

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Solution

The third proportional to 122,867 and 192,776 is: 302,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,867 : 192,776 = 192,776 : x
  2. Step 2: Convert to fraction form
    122,867/192,776 = 192,776/x
  3. Step 3: Cross multiply
    122,867x = 192,776 × 192,776
  4. Step 4: Simplify right side
    122,867x = 37,162,586,176
  5. Step 5: Solve for x
    x = 37,162,586,176/122,867
  6. Step 6: Final answer
    x = 302,461.90

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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.