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Finding the Third Proportional to 129,472 and 193,668

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Solution

The third proportional to 129,472 and 193,668 is: 289,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472 : 193,668 = 193,668 : x
  2. Step 2: Convert to fraction form
    129,472/193,668 = 193,668/x
  3. Step 3: Cross multiply
    129,472x = 193,668 × 193,668
  4. Step 4: Simplify right side
    129,472x = 37,507,294,224
  5. Step 5: Solve for x
    x = 37,507,294,224/129,472
  6. Step 6: Final answer
    x = 289,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.