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Finding the Third Proportional to 129,964 and 283,416

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Solution

The third proportional to 129,964 and 283,416 is: 618,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,964 : 283,416 = 283,416 : x
  2. Step 2: Convert to fraction form
    129,964/283,416 = 283,416/x
  3. Step 3: Cross multiply
    129,964x = 283,416 × 283,416
  4. Step 4: Simplify right side
    129,964x = 80,324,629,056
  5. Step 5: Solve for x
    x = 80,324,629,056/129,964
  6. Step 6: Final answer
    x = 618,052.92

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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.