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Finding the Third Proportional to 143,173 and 310,950

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Solution

The third proportional to 143,173 and 310,950 is: 675,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,173 : 310,950 = 310,950 : x
  2. Step 2: Convert to fraction form
    143,173/310,950 = 310,950/x
  3. Step 3: Cross multiply
    143,173x = 310,950 × 310,950
  4. Step 4: Simplify right side
    143,173x = 96,689,902,500
  5. Step 5: Solve for x
    x = 96,689,902,500/143,173
  6. Step 6: Final answer
    x = 675,336.15

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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.