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Finding the Third Proportional to 129,329 and 282,706

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Solution

The third proportional to 129,329 and 282,706 is: 617,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,329 : 282,706 = 282,706 : x
  2. Step 2: Convert to fraction form
    129,329/282,706 = 282,706/x
  3. Step 3: Cross multiply
    129,329x = 282,706 × 282,706
  4. Step 4: Simplify right side
    129,329x = 79,922,682,436
  5. Step 5: Solve for x
    x = 79,922,682,436/129,329
  6. Step 6: Final answer
    x = 617,979.59

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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.