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Finding the Third Proportional to 74,676 and 115,639

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Solution

The third proportional to 74,676 and 115,639 is: 179,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,676 : 115,639 = 115,639 : x
  2. Step 2: Convert to fraction form
    74,676/115,639 = 115,639/x
  3. Step 3: Cross multiply
    74,676x = 115,639 × 115,639
  4. Step 4: Simplify right side
    74,676x = 13,372,378,321
  5. Step 5: Solve for x
    x = 13,372,378,321/74,676
  6. Step 6: Final answer
    x = 179,071.97

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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.