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Finding the Third Proportional to 129,256 and 282,520

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Solution

The third proportional to 129,256 and 282,520 is: 617,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,256 : 282,520 = 282,520 : x
  2. Step 2: Convert to fraction form
    129,256/282,520 = 282,520/x
  3. Step 3: Cross multiply
    129,256x = 282,520 × 282,520
  4. Step 4: Simplify right side
    129,256x = 79,817,550,400
  5. Step 5: Solve for x
    x = 79,817,550,400/129,256
  6. Step 6: Final answer
    x = 617,515.24

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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.