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Finding the Third Proportional to 78,189 and 170,717

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Solution

The third proportional to 78,189 and 170,717 is: 372,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189 : 170,717 = 170,717 : x
  2. Step 2: Convert to fraction form
    78,189/170,717 = 170,717/x
  3. Step 3: Cross multiply
    78,189x = 170,717 × 170,717
  4. Step 4: Simplify right side
    78,189x = 29,144,294,089
  5. Step 5: Solve for x
    x = 29,144,294,089/78,189
  6. Step 6: Final answer
    x = 372,741.61

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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.