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Finding the Third Proportional to 129,118 and 283,157

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Solution

The third proportional to 129,118 and 283,157 is: 620,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,118 : 283,157 = 283,157 : x
  2. Step 2: Convert to fraction form
    129,118/283,157 = 283,157/x
  3. Step 3: Cross multiply
    129,118x = 283,157 × 283,157
  4. Step 4: Simplify right side
    129,118x = 80,177,886,649
  5. Step 5: Solve for x
    x = 80,177,886,649/129,118
  6. Step 6: Final answer
    x = 620,965.99

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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.