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Finding the Third Proportional to 143,182 and 310,958

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Solution

The third proportional to 143,182 and 310,958 is: 675,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,182 : 310,958 = 310,958 : x
  2. Step 2: Convert to fraction form
    143,182/310,958 = 310,958/x
  3. Step 3: Cross multiply
    143,182x = 310,958 × 310,958
  4. Step 4: Simplify right side
    143,182x = 96,694,877,764
  5. Step 5: Solve for x
    x = 96,694,877,764/143,182
  6. Step 6: Final answer
    x = 675,328.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.