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Finding the Third Proportional to 86,741 and 134,051

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Solution

The third proportional to 86,741 and 134,051 is: 207,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,741 : 134,051 = 134,051 : x
  2. Step 2: Convert to fraction form
    86,741/134,051 = 134,051/x
  3. Step 3: Cross multiply
    86,741x = 134,051 × 134,051
  4. Step 4: Simplify right side
    86,741x = 17,969,670,601
  5. Step 5: Solve for x
    x = 17,969,670,601/86,741
  6. Step 6: Final answer
    x = 207,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.