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Finding the Third Proportional to 129,055 and 283,039

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Solution

The third proportional to 129,055 and 283,039 is: 620,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,055 : 283,039 = 283,039 : x
  2. Step 2: Convert to fraction form
    129,055/283,039 = 283,039/x
  3. Step 3: Cross multiply
    129,055x = 283,039 × 283,039
  4. Step 4: Simplify right side
    129,055x = 80,111,075,521
  5. Step 5: Solve for x
    x = 80,111,075,521/129,055
  6. Step 6: Final answer
    x = 620,751.43

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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.