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Finding the Third Proportional to 143,350 and 283,172

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Solution

The third proportional to 143,350 and 283,172 is: 559,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,350 : 283,172 = 283,172 : x
  2. Step 2: Convert to fraction form
    143,350/283,172 = 283,172/x
  3. Step 3: Cross multiply
    143,350x = 283,172 × 283,172
  4. Step 4: Simplify right side
    143,350x = 80,186,381,584
  5. Step 5: Solve for x
    x = 80,186,381,584/143,350
  6. Step 6: Final answer
    x = 559,374.83

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.