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Finding the Third Proportional to 129,953 and 283,410

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Solution

The third proportional to 129,953 and 283,410 is: 618,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,953 : 283,410 = 283,410 : x
  2. Step 2: Convert to fraction form
    129,953/283,410 = 283,410/x
  3. Step 3: Cross multiply
    129,953x = 283,410 × 283,410
  4. Step 4: Simplify right side
    129,953x = 80,321,228,100
  5. Step 5: Solve for x
    x = 80,321,228,100/129,953
  6. Step 6: Final answer
    x = 618,079.06

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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.