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Finding the Third Proportional to 129,336 and 282,726

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Solution

The third proportional to 129,336 and 282,726 is: 618,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,336 : 282,726 = 282,726 : x
  2. Step 2: Convert to fraction form
    129,336/282,726 = 282,726/x
  3. Step 3: Cross multiply
    129,336x = 282,726 × 282,726
  4. Step 4: Simplify right side
    129,336x = 79,933,991,076
  5. Step 5: Solve for x
    x = 79,933,991,076/129,336
  6. Step 6: Final answer
    x = 618,033.58

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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.