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Finding the Third Proportional to 131,224 and 192,462

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Solution

The third proportional to 131,224 and 192,462 is: 282,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,224 : 192,462 = 192,462 : x
  2. Step 2: Convert to fraction form
    131,224/192,462 = 192,462/x
  3. Step 3: Cross multiply
    131,224x = 192,462 × 192,462
  4. Step 4: Simplify right side
    131,224x = 37,041,621,444
  5. Step 5: Solve for x
    x = 37,041,621,444/131,224
  6. Step 6: Final answer
    x = 282,277.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.