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Finding the Third Proportional to 143,181 and 310,968

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Solution

The third proportional to 143,181 and 310,968 is: 675,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,181 : 310,968 = 310,968 : x
  2. Step 2: Convert to fraction form
    143,181/310,968 = 310,968/x
  3. Step 3: Cross multiply
    143,181x = 310,968 × 310,968
  4. Step 4: Simplify right side
    143,181x = 96,701,097,024
  5. Step 5: Solve for x
    x = 96,701,097,024/143,181
  6. Step 6: Final answer
    x = 675,376.60

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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.