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Finding the Third Proportional to 133,968 and 178,707

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Solution

The third proportional to 133,968 and 178,707 is: 238,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,968 : 178,707 = 178,707 : x
  2. Step 2: Convert to fraction form
    133,968/178,707 = 178,707/x
  3. Step 3: Cross multiply
    133,968x = 178,707 × 178,707
  4. Step 4: Simplify right side
    133,968x = 31,936,191,849
  5. Step 5: Solve for x
    x = 31,936,191,849/133,968
  6. Step 6: Final answer
    x = 238,386.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.