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Finding the Third Proportional to 143,171 and 310,946

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Solution

The third proportional to 143,171 and 310,946 is: 675,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,171 : 310,946 = 310,946 : x
  2. Step 2: Convert to fraction form
    143,171/310,946 = 310,946/x
  3. Step 3: Cross multiply
    143,171x = 310,946 × 310,946
  4. Step 4: Simplify right side
    143,171x = 96,687,414,916
  5. Step 5: Solve for x
    x = 96,687,414,916/143,171
  6. Step 6: Final answer
    x = 675,328.21

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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.