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Finding the Third Proportional to 143,761 and 311,957

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Solution

The third proportional to 143,761 and 311,957 is: 676,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,761 : 311,957 = 311,957 : x
  2. Step 2: Convert to fraction form
    143,761/311,957 = 311,957/x
  3. Step 3: Cross multiply
    143,761x = 311,957 × 311,957
  4. Step 4: Simplify right side
    143,761x = 97,317,169,849
  5. Step 5: Solve for x
    x = 97,317,169,849/143,761
  6. Step 6: Final answer
    x = 676,937.21

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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.