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Finding the Third Proportional to 143,242 and 311,971

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Solution

The third proportional to 143,242 and 311,971 is: 679,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,242 : 311,971 = 311,971 : x
  2. Step 2: Convert to fraction form
    143,242/311,971 = 311,971/x
  3. Step 3: Cross multiply
    143,242x = 311,971 × 311,971
  4. Step 4: Simplify right side
    143,242x = 97,325,904,841
  5. Step 5: Solve for x
    x = 97,325,904,841/143,242
  6. Step 6: Final answer
    x = 679,450.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.