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Finding the Third Proportional to 129,718.75 and 284,041

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Solution

The third proportional to 129,718.75 and 284,041 is: 621,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,718.75 : 284,041 = 284,041 : x
  2. Step 2: Convert to fraction form
    129,718.75/284,041 = 284,041/x
  3. Step 3: Cross multiply
    129,718.75x = 284,041 × 284,041
  4. Step 4: Simplify right side
    129,718.75x = 80,679,289,681
  5. Step 5: Solve for x
    x = 80,679,289,681/129,718.75
  6. Step 6: Final answer
    x = 621,955.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.