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Finding the Third Proportional to 129,474 and 282,485

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Solution

The third proportional to 129,474 and 282,485 is: 616,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 282,485 = 282,485 : x
  2. Step 2: Convert to fraction form
    129,474/282,485 = 282,485/x
  3. Step 3: Cross multiply
    129,474x = 282,485 × 282,485
  4. Step 4: Simplify right side
    129,474x = 79,797,775,225
  5. Step 5: Solve for x
    x = 79,797,775,225/129,474
  6. Step 6: Final answer
    x = 616,322.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.