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Finding the Third Proportional to 129,984 and 283,760

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Solution

The third proportional to 129,984 and 283,760 is: 619,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,984 : 283,760 = 283,760 : x
  2. Step 2: Convert to fraction form
    129,984/283,760 = 283,760/x
  3. Step 3: Cross multiply
    129,984x = 283,760 × 283,760
  4. Step 4: Simplify right side
    129,984x = 80,519,737,600
  5. Step 5: Solve for x
    x = 80,519,737,600/129,984
  6. Step 6: Final answer
    x = 619,458.84

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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.